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Previous year question hub

Hyperbola - Coordinate Geometry - Mathematics Previous Year Questions

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

91Papers
14Years
100Questions
1Topics

Hyperbola question pattern

Every graph below is calculated only from this selection.

Questions by year

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

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 86 86%
Hard 10 10%
Easy 4 4%

Question type distribution

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

Multiple Choices 74 74%
Numerical Answer Type (NAT) 25 25%
Subjective 1 1%

Subject weightage

Top subjects by unique question coverage.

Mathematics
100 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
100 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Hyperbola
100 Qs

Paper coverage

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

JEE Main 2026 (Online) 6th April Morning Shift
2 Qs
JEE Main 2026 (Online) 2nd April Evening Shift
1 Qs
JEE Main 2026 (Online) 4th April Evening Shift
1 Qs
JEE Main 2026 (Online) 5th April Evening Shift
1 Qs
JEE Main 2026 (Online) 6th April Evening Shift
1 Qs
JEE MAIN 2026 ONLINE 21ST JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 23RD JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT
2 Qs
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 2ND APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 3RD APRIL MORNING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 4TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 31ST JANUARY MORNING SHIFT
2 Qs
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 30TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 30TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 4TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 6TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 8TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 8TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT
2 Qs
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT
2 Qs
JEE MAIN 2022 ONLINE 24TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
2 Qs
JEE Main 2021 (Online) 25th February Evening Shift
1 Qs
JEE Main 2021 (Online) 25th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 22TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 3RD SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 4TH SEPTEMBER MORNING SLOT
1 Qs
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 8TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
2 Qs
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2018 OFFLINE
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2017 OFFLINE
1 Qs
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
1 Qs
AIEEE 2007
2 Qs
IIT-JEE 2007
2 Qs
AIEEE 2005
1 Qs
AIEEE 2003
1 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) 4th April Evening Shift20261View paper
JEE Main 2026 (Online) 5th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Evening Shift20261View paper
JEE Main 2026 (Online) 6th April Morning Shift20262View 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 28TH JANUARY EVENING SHIFT20261View paper
JEE MAIN 2026 ONLINE 28TH JANUARY MORNING SHIFT20261View paper
JEE MAIN 2025 ONLINE 22ND JANUARY MORNING SHIFT20251View paper
JEE MAIN 2025 ONLINE 24TH JANUARY EVENING 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 SHIFT20251View paper
JEE MAIN 2025 ONLINE 7TH APRIL EVENING SHIFT20252View paper
JEE MAIN 2025 ONLINE 7TH APRIL MORNING SHIFT20251View paper
JEE MAIN 2024 ONLINE 1ST FEBRUARY MORNING SHIFT20241View paper
JEE MAIN 2024 ONLINE 27TH JANUARY EVENING SHIFT20241View 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 MORNING SHIFT20242View paper
JEE MAIN 2024 ONLINE 4TH APRIL EVENING 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 SHIFT20241View paper
JEE MAIN 2024 ONLINE 9TH APRIL EVENING SHIFT20241View paper
JEE MAIN 2023 ONLINE 11TH APRIL MORNING SHIFT20232View paper
JEE MAIN 2023 ONLINE 13TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 13TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 1ST FEBRUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 25TH JANUARY MORNING SHIFT20231View paper
JEE MAIN 2023 ONLINE 31ST JANUARY EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2022 ONLINE 24TH JUNE EVENING 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 26TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 26TH JUNE EVENING SHIFT20222View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY 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 JUNE MORNING SHIFT20221View paper
JEE Main 2021 (Online) 25th February Evening Shift20211View paper
JEE Main 2021 (Online) 25th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 16TH MARCH MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 22TH 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 27TH AUGUST EVENING 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 MORNING SLOT20201View paper
JEE MAIN 2020 ONLINE 5TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 8TH 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 MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT20192View paper
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH 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 SLOT20191View 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 2016 OFFLINE20161View paper
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT20161View paper
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT20161View paper
AIEEE 200720072View paper
IIT-JEE 200720072View paper
AIEEE 200520051View paper
AIEEE 200320031View paper

All Hyperbola previous year questions

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

1
2003 · Mathematics · Coordinate Geometry · Hyperbola
AIEEE 2003
The foci of the ellipse \({{{x^2}} \over {16}} + {{{y^2}} \over {{b^2}}} = 1\) and the hyperbola \({{{x^2}} \over {144}} - {{{y^2}} \over {81}} = {1 \over {25}}\) coincide. Then the value of \({b^2}\) is :
A
\(9\)
B
\(1\)
C
\(5\)
D
\(7\)
Open complete paper
2
2005 · Mathematics · Coordinate Geometry · Hyperbola
AIEEE 2005
The locus of a point \(P\left( {\alpha ,\beta } \right)\) moving under the condition that the line \(y = \alpha x + \beta\) is tangent to the hyperbola \({{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1\) is :
A
an ellipse
B
a circle
C
a parabola
D
a hyperbola
Open complete paper
3
2007 · Mathematics · Coordinate Geometry · Hyperbola
AIEEE 2007
The normal to a curve at \(P(x,y)\) meets the \(x\)-axis at \(G\). If the distance of \(G\) from the origin is twice the abscissa of \(P\), then the curve is a :
A
circle
B
hyperbola
C
ellipse
D
parabola
Open complete paper
4
2007 · Mathematics · Coordinate Geometry · Hyperbola
AIEEE 2007
For the Hyperbola \({{{x^2}} \over {{{\cos }^2}\alpha }} - {{{y^2}} \over {{{\sin }^2}\alpha }} = 1\) , which of the following remains constant when \(\alpha\) varies\(=\)?
A
abscissae of vertices
B
abscissae of foci
C
eccentricity
D
directrix.
Open complete paper
5
2016 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2016 OFFLINE
The eccentricity of the hyperbola whose length of the latus rectum is equal to \(8\) and the length of its conjugate axis is equal to half of the distance between its foci, is :
A
\({2 \over {\sqrt 3 }}\)
B
\({\sqrt 3 }\)
C
\({{4 \over 3}}\)
D
\({4 \over {\sqrt 3 }}\)
Open complete paper
6
2016 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
A hyperbola whose transverse axis is along the major axis of the conic, \({{{x^2}} \over 3} + {{{y^2}} \over 4} = 4\) and has vertices at the foci of this conic. If the eccentricity of the hyperbola is \({3 \over 2},\) then which of the following points does NOT lie on it?
A
(0, 2)
B
\(\left( {\sqrt 5 ,2\sqrt 2 } \right)\)
C
\(\left( {\sqrt {10} ,2\sqrt 3 } \right)\)
D
\(\left( {5,2\sqrt 3 } \right)\)
Open complete paper
7
2016 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2016 ONLINE 9TH APRIL MORNING SLOT
Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 − b2 is equal to :
A
7
B
\(-\) 7
C
5
D
\(-\) 5
Open complete paper
8
2017 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2017 OFFLINE
A hyperbola passes through the point P\(\left( {\sqrt 2 ,\sqrt 3 } \right)\) and has foci at \(\left( { \pm 2,0} \right)\). Then the tangent to this hyperbola at P also passes through the point :
A
\(\left( {2\sqrt 2 ,3\sqrt 3 } \right)\)
B
\(\left( {\sqrt 3 ,\sqrt 2 } \right)\)
C
\(\left( { - \sqrt 2 , - \sqrt 3 } \right)\)
D
\(\left( {3\sqrt 2 ,2\sqrt 3 } \right)\)
Open complete paper
9
2017 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2017 ONLINE 8TH APRIL MORNING SLOT
The locus of the point of intersection of the straight lines,

tx \(-\) 2y \(-\) 3t = 0

x \(-\) 2ty + 3 = 0 (t \(\in\) R), is :
A
an ellipse with eccentricity \({2 \over {\sqrt 5 }}\)
B
an ellipse with the length of major axis 6
C
a hyperbola with eccentricity \(\sqrt 5\)
D
a hyperbola with the length of conjugate axis 3
Open complete paper
10
2018 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2018 OFFLINE
Tangents are drawn to the hyperbola 4x2 - y2 = 36 at the points P and Q.

If these tangents intersect at the point T(0, 3) then the area (in sq. units) of \(\Delta\)PTQ is :
A
\(36\sqrt 5\)
B
\(45\sqrt 5\)
C
\(54\sqrt 3\)
D
\(60\sqrt 3\)
Open complete paper
11
2018 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
A normal to the hyperbola, 4x2 \(-\) 9y2 = 36 meets the co-ordinate axes \(x\) and y at A and B, respectively. If the parallelogram OABP (O being the origin) is formed, then the ocus of P is :
A
4x2 + 9y2 = 121
B
9x2 + 4y2 = 169
C
4x2 \(-\) 9y2 = 121
D
9x2 \(-\) 4y2 = 169
Open complete paper
12
2018 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :
A
x2 \(-\) 4y2 + 16x2y2 = 0
B
x2 \(-\) 4y2 \(-\) 16x2y2 = 0
C
4x2 \(-\) y2 + 16x2y2 = 0
D
4x2 \(-\) y2 \(-\) 16x2y2 = 0
Open complete paper
13
2018 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
The locus of the point of intersection of the lines, \(\sqrt 2 x - y + 4\sqrt 2 k = 0\) and \(\sqrt 2 k\,x + k\,y - 4\sqrt 2 = 0\) (k is any non-zero real parameter), is :
A
an ellipse whose eccentricity is \({1 \over {\sqrt 3 }}.\)
B
an ellipse with length of its major axis \(8\sqrt 2 .\)
C
a hyperbola whose eccentricity is \(\sqrt 3 .\)
D
a hyperbola with length of its transverse axis \(8\sqrt 2 .\)
Open complete paper
14
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
If 5x + 9 = 0 is the directrix of the hyperbola 16x2 – 9y2 = 144, then its corresponding focus is :
A
\(\left( {{5 \over 3},0} \right)\)
B
(5, 0)
C
(- 5, 0)
D
\(\left( { - {5 \over 3},0} \right)\)
Open complete paper
15
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
If a directrix of a hyperbola centred at the origin and passing through the point (4, –2\(\sqrt 3\) ) is 5x = 4\(\sqrt 5\) and its eccentricity is e, then :
A
4e4 – 24e2 + 27 = 0
B
4e4 – 24e2 + 35 = 0
C
4e4 – 12e2 - 27 = 0
D
4e4 + 8e2 - 35 = 0
Open complete paper
16
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
The equation of a tangent to the hyperbola 4x2 – 5y2 = 20 parallel to the line x – y = 2 is :
A
x \(-\) y + 9 = 0
B
x \(-\) y \(-\) 3 = 0
C
x \(-\) y + 1 = 0
D
x \(-\) y + 7 = 0
Open complete paper
17
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is :
A
an ellipse
B
a parabola
C
a hyperbola
D
a straight line
Open complete paper
18
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 11TH JANUARY EVENING SLOT
If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is :
A
\({{13} \over 6}\)
B
2
C
\({{13} \over 12}\)
D
\({{13} \over 8}\)
Open complete paper
19
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 11TH JANUARY MORNING SLOT
Equation of a common tangent to the parabola y2 = 4x and the hyperbola xy = 2 is :
A
x + y + 1 = 0
B
4x + 2y + 1 = 0
C
x – 2y + 4 = 0
D
x + 2y + 4 = 0
Open complete paper
20
2019 · Mathematics · Coordinate Geometry · Hyperbola
JEE MAIN 2019 ONLINE 12TH JANUARY MORNING SLOT
If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?
A
\(\left( {6,5\sqrt 2 } \right)\)
B
\(\left( {2\sqrt 6 ,5} \right)\)
C
\(\left( { - 6,2\sqrt {10} } \right)\)
D
\(\left( {4,\sqrt {15} } \right)\)
Open complete paper

Showing 20 of 100 questions