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Previous year question hub

Complex Numbers - Algebra - Mathematics Previous Year Questions

Practice Complex Numbers - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

179Papers
25Years
206Questions
1Topics

Complex Numbers question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Complex Numbers. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 175 85%
Hard 16 7.8%
Easy 15 7.3%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 167 81.1%
Numerical Answer Type (NAT) 39 18.9%

Subject weightage

Top subjects by unique question coverage.

Mathematics
206 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
206 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Complex Numbers
206 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

JEE Main 2026 (Online) 2nd April Evening Shift
1 Qs
JEE Main 2026 (Online) 2nd April Morning Shift
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JEE Main 2026 (Online) 4th April Evening Shift
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JEE Main 2026 (Online) 4th April Morning Shift
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JEE Main 2026 (Online) 5th April Evening Shift
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JEE Main 2026 (Online) 5th April Morning Shift
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JEE Main 2026 (Online) 6th April Evening Shift
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JEE Main 2026 (Online) 6th April Morning Shift
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JEE Main 2026 (Online) 8th April Evening Shift
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JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT
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JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
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JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
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JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT
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JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT
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JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT
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JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT
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JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT
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JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT
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JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT
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JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT
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JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
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JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT
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JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
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JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT
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JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT
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JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT
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JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT
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JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
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JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT
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JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT
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JEE Main 2021 (Online) 24th February Evening Shift
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JEE Main 2021 (Online) 24th February Morning Shift
1 Qs
JEE Main 2021 (Online) 25th February Evening Shift
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JEE Main 2021 (Online) 25th February Morning Shift
1 Qs
JEE Main 2021 (Online) 26th February Evening Shift
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JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT
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JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
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JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT
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JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
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JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT
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JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
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JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
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JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT
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JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT
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JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT
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JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT
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JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT
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JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
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JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT
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JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT
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JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT
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JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT
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JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT
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JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT
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JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT
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JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
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JEE MAIN 2018 OFFLINE
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JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
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JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
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JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
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JEE MAIN 2017 OFFLINE
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JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
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JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT
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JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
1 Qs
JEE MAIN 2014 OFFLINE
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JEE MAIN 2013 OFFLINE
1 Qs
AIEEE 2012
1 Qs
AIEEE 2011
2 Qs
AIEEE 2010
1 Qs
AIEEE 2009
1 Qs
AIEEE 2008
1 Qs
IIT-JEE 2007
2 Qs
AIEEE 2007
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AIEEE 2006
2 Qs
AIEEE 2005
3 Qs
AIEEE 2004
3 Qs
AIEEE 2003
1 Qs
AIEEE 2002
3 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
JEE Main 2026 (Online) 2nd April Evening Shift20261View paper
JEE Main 2026 (Online) 2nd April Morning Shift20261View paper
JEE Main 2026 (Online) 4th April Evening Shift20261View paper
JEE Main 2026 (Online) 4th April Morning Shift20261View paper
JEE Main 2026 (Online) 5th April Evening Shift20261View paper
JEE Main 2026 (Online) 5th April Morning Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20261View paper
JEE Main 2026 (Online) 8th April Evening Shift20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 24TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2025 ONLINE 22ND JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 23RD JANUARY EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 23RD JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 29TH JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 29TH JANUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 29TH JANUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20232View paper
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT20221View paper
JEE Main 2021 (Online) 24th February Evening Shift20211View paper
JEE Main 2021 (Online) 24th February Morning Shift20211View paper
JEE Main 2021 (Online) 25th February Evening Shift20211View paper
JEE Main 2021 (Online) 25th February Morning Shift20211View paper
JEE Main 2021 (Online) 26th February Evening Shift20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 26TH AUGUST MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20211View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 7TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT20201View paper
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT20192View paper
JEE MAIN 2018 OFFLINE20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT20181View paper
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT20181View paper
JEE MAIN 2017 OFFLINE20171View paper
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT20171View paper
JEE MAIN 2017 ONLINE 9TH APRIL MORNING SLOT20171View paper
JEE MAIN 2016 OFFLINE20161View paper
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT20161View paper
JEE MAIN 2015 OFFLINE20151View paper
JEE MAIN 2014 OFFLINE20141View paper
JEE MAIN 2013 OFFLINE20131View paper
AIEEE 201220121View paper
AIEEE 201120112View paper
AIEEE 201020101View paper
AIEEE 200920091View paper
AIEEE 200820081View paper
AIEEE 200720071View paper
IIT-JEE 200720072View paper
AIEEE 200620062View paper
AIEEE 200520053View paper
AIEEE 200420043View paper
AIEEE 200320031View paper
AIEEE 200220023View paper

All Complex Numbers previous year questions

Practice every matching question in batches of 20, with every available option.

1
2002 · Mathematics · Algebra · Complex Numbers
AIEEE 2002
The locus of the centre of a circle which touches the circle \(\left| {z - {z_1}} \right| = a\) and\(\left| {z - {z_2}} \right| = b\,\) externally

(\(z,\,{z_1}\,\& \,{z_2}\,\) are complex numbers) will be :
A
an ellipse
B
a hyperbola
C
a circle
D
none of these
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2
2002 · Mathematics · Algebra · Complex Numbers
AIEEE 2002
z and w are two nonzero complex numbers such that \(\,\left| z \right| = \left| w \right|\) and Arg z + Arg w =\(\pi\) then z equals
A
\(\overline \omega\)
B
\(- \overline \omega\)
C
\(\omega\)
D
\(- \omega\)
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3
2002 · Mathematics · Algebra · Complex Numbers
AIEEE 2002
If \(\left| {z - 4} \right| < \left| {z - 2} \right|\), its solution is given by :
A
\({\mathop{\rm Re}\nolimits} (z) > 0\)
B
\({\mathop{\rm Re}\nolimits} (z) < 0\)
C
\({\mathop{\rm Re}\nolimits} (z) > 3\)
D
\({\mathop{\rm Re}\nolimits} (z) > 2\)
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4
2003 · Mathematics · Algebra · Complex Numbers
AIEEE 2003
If \({\left( {{{1 + i} \over {1 - i}}} \right)^x} = 1\) then :
A
x = 2n + 1, where n is any positive integer
B
x = 4n , where n is any positive integer
C
x = 2n, where n is any positive integer
D
x = 4n + 1, where n is any positive integer.
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5
2004 · Mathematics · Algebra · Complex Numbers
AIEEE 2004
If \(z = x - iy\) and \({z^{{1 \over 3}}} = p + iq\), then

\({{\left( {{x \over p} + {y \over q}} \right)} \over {\left( {{p^2} + {q^2}} \right)}}\) is equal to :
A
- 2
B
- 1
C
2
D
1
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6
2004 · Mathematics · Algebra · Complex Numbers
AIEEE 2004
Let z and w be complex numbers such that \(\overline z + i\overline w = 0\) and arg zw = \(\pi\). Then arg z equals :
A
\({{5\pi } \over 4}\)
B
\({{\pi } \over 2}\)
C
\({{3\pi } \over 4}\)
D
\({{\pi } \over 4}\)
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7
2004 · Mathematics · Algebra · Complex Numbers
AIEEE 2004
If \(\,\left| {{z^2} - 1} \right| = {\left| z \right|^2} + 1\), then z lies on :
A
an ellipse
B
the imaginary axis
C
a circle
D
the real axis
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8
2005 · Mathematics · Algebra · Complex Numbers
AIEEE 2005
If \({z_1}\) and \({z_2}\) are two non-zero complex numbers such that \(\,\left| {{z_1} + {z_2}} \right| = \left| {{z_1}} \right| + \left| {{z_2}} \right|\), then arg \({z_1}\) - arg \({z_2}\) is equal to :
A
\({\pi \over 2}\,\)
B
\(- \pi\)
C
0
D
\({{ - \pi } \over 2}\)
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9
2005 · Mathematics · Algebra · Complex Numbers
AIEEE 2005
If the cube roots of unity are 1, \(\omega \,,\,{\omega ^2}\) then the roots of the equation \({(x - 1)^3}\) + 8 = 0, are :
A
\(- 1, - 1 + 2\,\,\omega , - 1 - 2\,\,{\omega ^2}\)
B
\(- 1, - 1, - 1\)
C
\(- 1,1 - 2\omega ,1 - 2{\omega ^2}\)
D
\(- 1,1 + 2\omega ,1 + 2{\omega ^2}\)
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10
2005 · Mathematics · Algebra · Complex Numbers
AIEEE 2005
If \(\,\omega = {z \over {z - {1 \over 3}i}}\,\) and \(\left| \omega \right| = 1\), then \(z\) lies on :
A
an ellipse
B
a circle
C
a straight line
D
a parabola
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11
2006 · Mathematics · Algebra · Complex Numbers
AIEEE 2006
If \({z^2} + z + 1 = 0\), where z is complex number, then value of \({\left( {z + {1 \over z}} \right)^2} + {\left( {{z^2} + {1 \over {{z^2}}}} \right)^2} + {\left( {{z^3} + {1 \over {{z^3}}}} \right)^2} + .......... + {\left( {{z^6} + {1 \over {{z^6}}}} \right)^2}\) is :
A
18
B
54
C
6
D
12
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12
2006 · Mathematics · Algebra · Complex Numbers
AIEEE 2006
The value of \(\sum\limits_{k = 1}^{10} {\left( {\sin {{2k\pi } \over {11}} + i\,\,\cos {{2k\pi } \over {11}}} \right)}\) is :
A
i
B
1
C
- 1
D
- i
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13
2007 · Mathematics · Algebra · Complex Numbers
AIEEE 2007
If \(\,\left| {z + 4} \right|\,\, \le \,\,3\,\), then the maximum value of \(\left| {z + 1} \right|\) is :
A
6
B
0
C
4
D
10
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14
2008 · Mathematics · Algebra · Complex Numbers
AIEEE 2008
The conjugate of a complex number is \({1 \over {i - 1}}\) then that complex number is :
A
\({{ - 1} \over {i - 1}}\)
B
\({1 \over {i + 1}}\,\)
C
\({{ - 1} \over {i + 1}}\)
D
\({1 \over {i - 1}}\)
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15
2009 · Mathematics · Algebra · Complex Numbers
AIEEE 2009
If \(\,\left| {z - {4 \over z}} \right| = 2,\) then the maximum value of \(\,\left| z \right|\) is equal to :
A
\(\sqrt 5 + 1\)
B
2
C
\(2 + \sqrt 2\)
D
\(\sqrt 3 + 1\)
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16
2010 · Mathematics · Algebra · Complex Numbers
AIEEE 2010
The number of complex numbers z such that \(\left| {z - 1} \right| = \left| {z + 1} \right| = \left| {z - i} \right|\) equals :
A
1
B
2
C
\(\infty\)
D
0
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17
2011 · Mathematics · Algebra · Complex Numbers
AIEEE 2011
Let \(\alpha \,,\beta\) be real and z be a complex number. If \({z^2} + \alpha z + \beta = 0\) has two distinct roots on the line Re z = 1, then it is necessary that :
A
\(\beta \, \in ( - 1,0)\)
B
\(\left| {\beta \,} \right| = 1\)
C
\(\beta \, \in (1,\infty )\)
D
\(\beta \, \in (0,1)\)
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18
2011 · Mathematics · Algebra · Complex Numbers
AIEEE 2011
If \(\omega ( \ne 1)\) is a cube root of unity, and \({(1 + \omega )^7} = A + B\omega \,\). Then \((A,B)\) equals :
A
(1 ,1)
B
(1, 0)
C
(- 1 ,1)
D
(0 ,1)
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19
2012 · Mathematics · Algebra · Complex Numbers
AIEEE 2012
If \(z \ne 1\) and \(\,{{{z^2}} \over {z - 1}}\,\) is real, then the point represented by the complex number z lies :
A
either on the real axis or a circle passing through the origin.
B
on a circle with centre at the origin
C
either on real axis or on a circle not passing through the origin.
D
on the imaginary axis.
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20
2013 · Mathematics · Algebra · Complex Numbers
JEE MAIN 2013 OFFLINE
If z is a complex number of unit modulus and argument \(\theta\), then arg \(\left( {{{1 + z} \over {1 + \overline z }}} \right)\) equals :
A
\(- \theta \,\,\)
B
\({\pi \over 2} - \theta \,\)
C
\(\theta \,\)
D
\(\pi - \theta \,\,\)
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