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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.

7Papers
5Years
7Questions
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.

Not classified 7 100%

Question type distribution

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

Multiple Choices 7 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
7 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
7 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Hyperbola
7 Qs

Paper coverage

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

COMEDK 2026 Afternoon Shift
1 Qs
COMEDK 2026 Morning Shift
1 Qs
COMEDK 2025 AFTERNOON SHIFT
1 Qs
COMEDK 2025 EVENING SHIFT
1 Qs
COMEDK 2024 AFTERNOON SHIFT
1 Qs
COMEDK 2023 EVENING SHIFT
1 Qs
COMEDK 2020
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
COMEDK 2026 Afternoon Shift20261View paper
COMEDK 2026 Morning Shift20261View paper
COMEDK 2025 AFTERNOON SHIFT20251View paper
COMEDK 2025 EVENING SHIFT20251View paper
COMEDK 2024 AFTERNOON SHIFT20241View paper
COMEDK 2023 EVENING SHIFT20231View paper
COMEDK 202020201View paper

All Hyperbola previous year questions

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

1
2020 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2020

If \({{{x^2}} \over {36}} - {{{y^2}} \over {{k^2}}} = 1\) is a hyperbola, then which of the following statements can be true?

A
(3, 1) lies on the hyperbola.
B
(\(-\)3, 1) lies on the hyperbola.
C
(5, 2) lies on the hyperbola
D
(10, 4) lies on the hyperbola
Open complete paper
2
2023 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2023 EVENING SHIFT

The distance between the foci of a hyperbola is 16 and its eccentricity is \(\sqrt{2}\). Then its equation is

A
\(x^2-y^2=32\)
B
\(3 x^2-2 y^2=7\)
C
\(2 x^2-3 y^2=7\)
D
\(\frac{x^2}{4}-\frac{y^2}{9}=1\)
Open complete paper
3
2024 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2024 AFTERNOON SHIFT

If the distance between the foci and the distance between the two directrixes are in the ratio \(3: 2\) for a hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\), then a : b is

A
\(1: 2\)
B
\(\sqrt{3}: \sqrt{2}\)
C
\(2: 1\)
D
\(\sqrt{2}: 1\)
Open complete paper
4
2025 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2025 AFTERNOON SHIFT
The length of the latus rectum of a conic $49 y^2-16 x^2=784$ is
A
$\frac{49}{2}$
B
$\frac{49}{\sqrt{2}}$
C
$\frac{7}{\sqrt{2}}$
D
$\frac{7}{2}$
Open complete paper
5
2025 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2025 EVENING SHIFT
If the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{b^2}=1$ and the foci of the hyperbola $\frac{x^2}{144}-\frac{y^2}{81}=\frac{1}{25}$ coincide, then the value of $b^2$ is
A
5
B
9
C
1
D
7
Open complete paper
6
2026 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2026 Morning Shift

The difference between the distance of any point on the hyperbola from the two foci is $\mathbf{1 6}$ and the eccentricity is $\mathbf{2}$. Then the equation of the hyperbola is

A

$\frac{x^2}{64}-\frac{y^2}{64}=1$

B

$\frac{x^2}{64}-\frac{y^2}{256}=1$

C

$\frac{x^2}{64}-\frac{y^2}{192}=1$

D

$\frac{x^2}{192}-\frac{y^2}{64}=1$

Open complete paper
7
2026 · Mathematics · Coordinate Geometry · Hyperbola
COMEDK 2026 Afternoon Shift

The foci of a hyperbola are the same as those of the ellipse with equation $9 x^2+16 y^2=144$.

If the length of the transverse axis of this hyperbola is $2 \cos \alpha$, then its equation is:

A

\(\frac{x^2}{7-\cos ^2 \alpha}-\frac{y^2}{\cos ^2 \alpha}=1\)

B

\(\frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{7-\cos ^2 \alpha}=1\)

C

\(\frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{7+\cos ^2 \alpha}=1\)

D

\(\frac{x^2}{\cos ^2 \alpha}-\frac{y^2}{5-\cos ^2 \alpha}=1\)

Open complete paper