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Previous year question hub

3D Geometry - Algebra - Mathematics Previous Year Questions

Practice 3D Geometry - Algebra - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

185Papers
25Years
388Questions
1Topics

3D Geometry question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for 3D Geometry. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 345 88.9%
Easy 23 5.9%
Hard 20 5.2%

Question type distribution

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

Multiple Choices 306 78.9%
Numerical Answer Type (NAT) 82 21.1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
388 Qs

Most asked topics

Top topics across the included previous year papers.

Algebra
388 Qs

Subtopic coverage

Top subtopics inside this exact selection.

3D Geometry
388 Qs

Paper coverage

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

JEE Main 2026 (Online) 2nd April Morning Shift
2 Qs
JEE Main 2026 (Online) 4th April Evening Shift
2 Qs
JEE Main 2026 (Online) 4th April Morning Shift
2 Qs
JEE Main 2026 (Online) 5th April Evening Shift
2 Qs
JEE Main 2026 (Online) 5th April Morning Shift
2 Qs
JEE Main 2026 (Online) 6th April Evening Shift
2 Qs
JEE Main 2026 (Online) 6th April Morning Shift
2 Qs
JEE Main 2026 (Online) 8th April Evening Shift
2 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
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JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
2 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
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JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT
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JEE MAIN 2026 ONLINE 23RD JANUARY EVENING 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 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 EVENING SHIFT
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JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 2ND APRIL EVENING 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 EVENING 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 2025 ONLINE 23RD JANUARY MORNING SHIFT
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JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
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JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 29TH JANUARY MORNING 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 6TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 27TH JANUARY EVENING 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 30TH JANUARY EVENING SHIFT
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JEE MAIN 2024 ONLINE 4TH APRIL EVENING 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 8TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT
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JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
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JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT
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JEE MAIN 2023 ONLINE 31ST JANUARY 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 EVENING 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 1ST FEBRUARY EVENING 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 30TH JANUARY EVENING SHIFT
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JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
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JEE MAIN 2023 ONLINE 6TH APRIL 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 2023 ONLINE 1ST FEBRUARY MORNING SHIFT
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JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT
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JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
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JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT
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JEE MAIN 2022 ONLINE 28TH JUNE MORNING 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 26TH JULY MORNING 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 JULY MORNING 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 29TH JULY EVENING 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 2022 ONLINE 25TH JUNE MORNING SHIFT
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JEE Main 2021 (Online) 24th February Evening Shift
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JEE Main 2021 (Online) 26th February Morning Shift
3 Qs
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT
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JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT
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JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
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JEE Main 2021 (Online) 24th February Morning Shift
2 Qs
JEE Main 2021 (Online) 25th February Evening Shift
2 Qs
JEE Main 2021 (Online) 25th February Morning Shift
2 Qs
JEE Main 2021 (Online) 26th February Evening Shift
2 Qs
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
2 Qs
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT
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JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT
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JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
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JEE MAIN 2021 ONLINE 22TH JULY EVENING 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 AUGUST MORNING SHIFT
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JEE MAIN 2021 ONLINE 27TH JULY EVENING 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 2021 ONLINE 20TH JULY MORNING 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 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
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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 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 MORNING SLOT
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JEE MAIN 2020 ONLINE 8TH JANUARY EVENING 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 8TH APRIL 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 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 9TH APRIL EVENING SLOT
2 Qs
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 2019 ONLINE 9TH JANUARY MORNING SLOT
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JEE MAIN 2019 ONLINE 12TH APRIL MORNING 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 ONLINE 9TH APRIL MORNING SLOT
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JEE MAIN 2017 OFFLINE
2 Qs
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
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JEE MAIN 2016 OFFLINE
2 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
2 Qs
JEE MAIN 2015 OFFLINE
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JEE MAIN 2014 OFFLINE
2 Qs
JEE MAIN 2013 OFFLINE
2 Qs
AIEEE 2012
2 Qs
AIEEE 2011
2 Qs
AIEEE 2010
2 Qs
AIEEE 2009
2 Qs
AIEEE 2008
2 Qs
AIEEE 2007
3 Qs
IIT-JEE 2007
1 Qs
AIEEE 2006
2 Qs
AIEEE 2005
5 Qs
AIEEE 2004
5 Qs
AIEEE 2003
5 Qs
AIEEE 2002
2 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 Shift20262View paper
JEE Main 2026 (Online) 4th April Evening Shift20262View paper
JEE Main 2026 (Online) 4th April Morning Shift20262View paper
JEE Main 2026 (Online) 5th April Evening Shift20262View paper
JEE Main 2026 (Online) 5th April Morning Shift20262View paper
JEE Main 2026 (Online) 6th April Evening Shift20262View paper
JEE Main 2026 (Online) 6th April Morning Shift20262View paper
JEE Main 2026 (Online) 8th April Evening Shift20262View paper
JEE MAIN 2026 ONLINE 21ST JANUARY EVENING SHIFT20262View paper
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT20262View paper
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT20262View 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 SHIFT20252View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20252View 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 EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 28TH JANUARY EVENING SHIFT20251View paper
JEE MAIN 2025 ONLINE 28TH JANUARY MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 29TH JANUARY EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 2ND APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 4TH APRIL MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT20252View paper
JEE MAIN 2025 ONLINE 8TH APRIL EVENING SHIFT20252View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY EVENING SHIFT20243View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20242View 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 SHIFT20243View paper
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT20243View paper
JEE MAIN 2024 ONLINE 31ST JANUARY EVENING SHIFT20243View paper
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 4TH APRIL MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 5TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 5TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 6TH APRIL MORNING SHIFT20243View paper
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20242View paper
JEE MAIN 2024 ONLINE 9TH APRIL MORNING SHIFT20242View paper
JEE MAIN 2023 ONLINE 10TH APRIL EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 10TH APRIL MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 12TH APRIL MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 15TH APRIL MORNING SHIFT20234View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 24TH JANUARY EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 24TH JANUARY MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 29TH JANUARY EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 29TH JANUARY MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 30TH JANUARY MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20234View paper
JEE MAIN 2023 ONLINE 31ST JANUARY MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT20233View paper
JEE MAIN 2023 ONLINE 8TH APRIL EVENING SHIFT20233View paper
JEE MAIN 2023 ONLINE 8TH APRIL MORNING SHIFT20233View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 24TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 25TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT20223View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT20223View paper
JEE MAIN 2022 ONLINE 26TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JUNE MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20223View paper
JEE MAIN 2022 ONLINE 29TH JULY EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT20223View paper
JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT20222View paper
JEE Main 2021 (Online) 24th February Evening Shift20213View paper
JEE Main 2021 (Online) 24th February Morning Shift20212View paper
JEE Main 2021 (Online) 25th February Evening Shift20212View paper
JEE Main 2021 (Online) 25th February Morning Shift20212View paper
JEE Main 2021 (Online) 26th February Evening Shift20212View paper
JEE Main 2021 (Online) 26th February Morning Shift20213View paper
JEE MAIN 2021 ONLINE 16TH MARCH EVENING SHIFT20213View paper
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT20213View paper
JEE MAIN 2021 ONLINE 17TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 17TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 18TH MARCH MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 1ST SEPTEMBER EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 20TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT20212View 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 SHIFT20213View paper
JEE MAIN 2021 ONLINE 27TH AUGUST MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH JULY EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 27TH JULY MORNING SHIFT20212View paper
JEE MAIN 2021 ONLINE 31ST AUGUST EVENING SHIFT20212View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20212View 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 SLOT20202View 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 MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING 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 SLOT20192View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 10TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 8TH APRIL MORNING SLOT20193View paper
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT20192View paper
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT20192View paper
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All 3D Geometry previous year questions

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

1
2002 · Mathematics · Algebra · 3D Geometry
AIEEE 2002
The \(d.r.\) of normal to the plane through \((1, 0, 0), (0, 1, 0)\) which makes an angle \(\pi /4\) with plane \(x+y=3\) are :
A
\(1,\sqrt 2 ,1\)
B
\(1,1,\sqrt 2\)
C
\(1, 1, 2\)
D
\(\sqrt 2 ,1,1\)
Open complete paper
2
2002 · Mathematics · Algebra · 3D Geometry
AIEEE 2002
A plane which passes through the point \((3,2,0)\) and the line

\({{x - 4} \over 1} = {{y - 7} \over 5} = {{z - 4} \over 4}\) is :
A
\(x-y+z=1\)
B
\(x+y+z=5\)
C
\(x+2y-z=1\)
D
\(2x-y+z=5\)
Open complete paper
3
2003 · Mathematics · Algebra · 3D Geometry
AIEEE 2003
The shortest distance from the plane \(12x+4y+3z=327\) to the sphere

\({x^2} + {y^2} + {z^2} + 4x - 2y - 6z = 155\) is
A
\(39\)
B
\(26\)
C
\(11{4 \over {13}}\)
D
\(13\)
Open complete paper
4
2003 · Mathematics · Algebra · 3D Geometry
AIEEE 2003
The radius of the circle in which the sphere

\({x^2} + {y^2} + {z^2} + 2x - 2y - 4z - 19 = 0\) is cut by the plane

\(x+2y+2z+7=0\) is
A
\(4\)
B
\(1\)
C
\(2\)
D
\(3\)
Open complete paper
5
2003 · Mathematics · Algebra · 3D Geometry
AIEEE 2003
Two systems of rectangular axes have the same origin. If a plane cuts then at distances \(a,b,c\) and \(a', b', c'\) from the origin then
A
\({1 \over {{a^2}}} + {1 \over {{b^2}}} + {1 \over {{c^2}}} - {1 \over {a{'^2}}} - {1 \over {b{'^2}}} - {1 \over {c{'^2}}} = 0\)
B
\({1 \over {{a^2}}} + {1 \over {{b^2}}} + {1 \over {{c^2}}} + {1 \over {a{'^2}}} + {1 \over {b{'^2}}} + {1 \over {c{'^2}}} = 0\)
C
\({1 \over {{a^2}}} + {1 \over {{b^2}}} - {1 \over {{c^2}}} + {1 \over {a{'^2}}} - {1 \over {b{'^2}}} - {1 \over {c{'^2}}} = 0\)
D
\({1 \over {{a^2}}} - {1 \over {{b^2}}} - {1 \over {{c^2}}} + {1 \over {a{'^2}}} - {1 \over {b{'^2}}} - {1 \over {c{'^2}}} = 0\)
Open complete paper
6
2003 · Mathematics · Algebra · 3D Geometry
AIEEE 2003
The lines \({{x - 2} \over 1} = {{y - 3} \over 1} = {{z - 4} \over { - k}}\) and \({{x - 1} \over k} = {{y - 4} \over 2} = {{z - 5} \over 1}\) are coplanar if :
A
\(k=3\) or \(-2\)
B
\(k=0\) or \(-1\)
C
\(k=1\) or \(-1\)
D
\(k=0\) or \(-3\)
Open complete paper
7
2003 · Mathematics · Algebra · 3D Geometry
AIEEE 2003
The two lines \(x=ay+b,z=cy+d\) and \(x = a'y + b',z = c'y + d'\) will be perpendicular, if and only if :
A
\(aa' + cc' + 1 = 0\)
B
\(aa' + bb'cc' + 1 = 0\)
C
\(aa' + bb'cc' = 0\)
D
\(\left( {a + a'} \right)\left( {b + b'} \right) + \left( {c + c'} \right) = 0\)
Open complete paper
8
2004 · Mathematics · Algebra · 3D Geometry
AIEEE 2004
The intersection of the spheres
\({x^2} + {y^2} + {z^2} + 7x - 2y - z = 13\) and
$${x^2} + {y^2} + {z^2} - 3x + 3y + 4z = 8$$
is the same as the intersection of one of the sphere and the plane
A
\(2x-y-z=1\)
B
\(x-2y-z=1\)
C
\(x-y-2z=1\)
D
\(x-y-z=1\)
Open complete paper
9
2004 · Mathematics · Algebra · 3D Geometry
AIEEE 2004
Distance between two parallel planes

\(\,2x + y + 2z = 8\) and \(4x + 2y + 4z + 5 = 0\) is :
A
\({9 \over 2}\)
B
\({5 \over 2}\)
C
\({7 \over 2}\)
D
\({3 \over 2}\)
Open complete paper
10
2004 · Mathematics · Algebra · 3D Geometry
AIEEE 2004
A line makes the same angle \(\theta\), with each of the \(x\) and \(z\) axis.

If the angle \(\beta \,\), which it makes with y-axis, is such that \(\,{\sin ^2}\beta = 3{\sin ^2}\theta ,\) then \({\cos ^2}\theta\) equals :
A
\({2 \over 5}\)
B
\({1 \over 5}\)
C
\({3 \over 5}\)
D
\({2 \over 3}\)
Open complete paper
11
2004 · Mathematics · Algebra · 3D Geometry
AIEEE 2004
If the straight lines
\(x=1+s,y=-3\)\(- \lambda s,\) \(z = 1 + \lambda s\) and \(x = {t \over 2},y = 1 + t,z = 2 - t,\) with parameters \(s\) and \(t\) respectively, are co-planar, then \(\lambda\) equals :
A
\(0\)
B
\(-1\)
C
\(- {1 \over 2}\)
D
\(-2\)
Open complete paper
12
2004 · Mathematics · Algebra · 3D Geometry
AIEEE 2004
A line with direction cosines proportional to \(2,1,2\) meets each of the lines \(x=y+a=z\) and \(x+a=2y=2z\) . The co-ordinates of each of the points of intersection are given by :
A
\(\left( {2a,3a,3a} \right),\left( {2a,a,a} \right)\)
B
\(\left( {3a,2a,3a} \right),\left( {a,a,a} \right)\)
C
\(\left( {3a,2a,3a} \right),\left( {a,a,2a} \right)\)
D
\(\left( {3a,3a,3a} \right),\left( {a,a,a} \right)\)
Open complete paper
13
2005 · Mathematics · Algebra · 3D Geometry
AIEEE 2005
If the plane \(2ax-3ay+4az+6=0\) passes through the midpoint of the line joining the centres of the spheres

\({x^2} + {y^2} + {z^2} + 6x - 8y - 2z = 13\) and

\({x^2} + {y^2} + {z^2} - 10x + 4y - 2z = 8\) then a equals :
A
\(-1\)
B
\(1\)
C
\(-2\)
D
\(2\)
Open complete paper
14
2005 · Mathematics · Algebra · 3D Geometry
AIEEE 2005
The plane \(x+2y-z=4\) cuts the sphere \({x^2} + {y^2} + {z^2} - x + z - 2 = 0\) in a circle of radius
A
\(3\)
B
\(1\)
C
\(2\)
D
\({\sqrt 2 }\)
Open complete paper
15
2005 · Mathematics · Algebra · 3D Geometry
AIEEE 2005
The distance between the line

\(\overrightarrow r = 2\widehat i - 2\widehat j + 3\widehat k + \lambda \left( {i - j + 4k} \right),\) and the plane

\(\overrightarrow r .\left( {\widehat i + 5\widehat j + \widehat k} \right) = 5\) is
A
\({{10} \over 9}\)
B
\({{10} \over {3\sqrt 3 }}\)
C
\({{3} \over 10}\)
D
\({{10} \over 3}\)
Open complete paper
16
2005 · Mathematics · Algebra · 3D Geometry
AIEEE 2005
If the angel \(\theta\) between the line \({{x + 1} \over 1} = {{y - 1} \over 2} = {{z - 2} \over 2}\) and

the plane \(2x - y + \sqrt \lambda \,\,z + 4 = 0\) is such that \(\sin \,\,\theta = {1 \over 3}\) then value of \(\lambda\) is :
A
\({5 \over 3}\)
B
\({-3 \over 5}\)
C
\({3 \over 4}\)
D
\({-4 \over 3}\)
Open complete paper
17
2005 · Mathematics · Algebra · 3D Geometry
AIEEE 2005
The angle between the lines \(2x=3y=-z\) and \(6x=-y=-4z\) is :
A
\({0^ \circ }\)
B
\({90^ \circ }\)
C
\({45^ \circ }\)
D
\({30^ \circ }\)
Open complete paper
18
2006 · Mathematics · Algebra · 3D Geometry
AIEEE 2006
The image of the point \((-1, 3,4)\) in the plane \(x-2y=0\) is :
A
\(\left( { - {{17} \over 3}, - {{19} \over 3},4} \right)\)
B
\((15,11,4)\)
C
\(\left( { - {{17} \over 3}, - {{19} \over 3},1} \right)\)
D
None of these
Open complete paper
19
2006 · Mathematics · Algebra · 3D Geometry
AIEEE 2006
The two lines \(x=ay+b, z=cy+d;\) and \(x=a'y+b' ,\) \(z=c'y+d'\) are perpendicular to each other if :
A
\(aa'+cc'=-1\)
B
\(aa'+cc'=1\)
C
\({a \over {a'}} + {c \over {c'}} = - 1\)
D
\({a \over {a'}} + {c \over {c'}} = 1\)
Open complete paper
20
2007 · Mathematics · Algebra · 3D Geometry
AIEEE 2007
If \((2,3,5)\) is one end of a diameter of the sphere \({x^2} + {y^2} + {z^2} - 6x - 12y - 2z + 20 = 0,\) then the coordinates of the other end of the diameter are
A
\((4, 3, 5)\)
B
\((4, 3, -3)\)
C
\((4, 9, -3)\)
D
\((4, -3, 3)\)
Open complete paper

Showing 20 of 388 questions