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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.

8Papers
3Years
10Questions
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 10 100%

Question type distribution

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

Multiple Choices 10 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
10 Qs

Most asked topics

Top topics across the included previous year papers.

Coordinate Geometry
10 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Hyperbola
10 Qs

Paper coverage

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

MHT CET 2026 15th April Morning Shift
1 Qs
MHT CET 2026 16th April Morning Shift
1 Qs
MHT CET 2025 22ND APRIL EVENING SHIFT
2 Qs
MHT CET 2025 22ND APRIL MORNING SHIFT
1 Qs
MHT CET 2025 23RD APRIL MORNING SHIFT
1 Qs
MHT CET 2025 25TH APRIL EVENING SHIFT
1 Qs
MHT CET 2019 2ND MAY MORNING SHIFT
2 Qs
MHT CET 2019 3RD MAY MORNING SHIFT
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
MHT CET 2026 15th April Morning Shift20261View paper
MHT CET 2026 16th April Morning Shift20261View paper
MHT CET 2025 22ND APRIL EVENING SHIFT20252View paper
MHT CET 2025 22ND APRIL MORNING SHIFT20251View paper
MHT CET 2025 23RD APRIL MORNING SHIFT20251View paper
MHT CET 2025 25TH APRIL EVENING SHIFT20251View paper
MHT CET 2019 2ND MAY MORNING SHIFT20192View paper
MHT CET 2019 3RD MAY MORNING SHIFT20191View paper

All Hyperbola previous year questions

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

1
2019 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2019 2ND MAY MORNING SHIFT

If the lengths of the transverse axis and the latusrectum of a hyperbola are 6 and $\frac{8}{3}$ respectively, then the equation of the hyperbola is ............

A
$4 x^2-9 y^2=72$
B
$4 x^2-9 y^2=36$
C
$9 x^2-4 y^2=72$
D
$9 x^2-4 y^2=36$
Open complete paper
2
2019 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2019 2ND MAY MORNING SHIFT

If $P\left(x_1, y_1\right)$ is a point on the hyperbola $x^2-y^2=a^2$, then $S P$. S'P $=$ .............

A
$\frac{x_1^2-y_1^2}{a^2}$
B
$\frac{x_1^2+y_1^2}{a^2}$
C
$x_1^2-y_1^2$
D
$x_1^2+y_1^2$
Open complete paper
3
2019 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2019 3RD MAY MORNING SHIFT

The eccentricity of the hyperbola $25 x^2-9 y^2=225$ is .......

A
$\frac{\sqrt{34}}{3}$
B
4
C
$\sqrt{34}$
D
$\frac{\sqrt{34}}{5}$
Open complete paper
4
2025 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2025 22ND APRIL EVENING SHIFT

The foci of a hyperbola coincide with the foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$. The equation of the hyperbola with eccentricity 2 is

A
$\frac{x^2}{12}-\frac{y^2}{4}=1$
B
$\frac{x^2}{4}-\frac{y^2}{12}=1$
C
$\frac{x^2}{12}-\frac{y^2}{16}=1$
D
$\frac{x^2}{16}-\frac{y^2}{12}=1$
Open complete paper
5
2025 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2025 22ND APRIL EVENING SHIFT

The foci of a hyperbola coincide with the foci of the ellipse $\frac{x^2}{25}+\frac{y^2}{9}=1$. The equation of the hyperbola with eccentricity 2 is

A
$\frac{x^2}{12}-\frac{y^2}{4}=1$
B
$\frac{x^2}{4}-\frac{y^2}{12}=1$
C
$\frac{x^2}{12}-\frac{y^2}{16}=1$
D
$\frac{x^2}{16}-\frac{y^2}{12}=1$
Open complete paper
6
2025 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2025 22ND APRIL MORNING SHIFT

The X and Y intercepts of the tangent to the hyperbola $\frac{x^2}{20}-\frac{y^2}{5}=1$ which is perpendicular to the line $4 x+3 y=7$, are respectively

A
$\frac{-10}{3}, \frac{-5}{3}$
B
$\frac{10}{3}, \frac{-5}{2}$
C
$\frac{10}{3}, \frac{5}{2}$
D
$\frac{10}{3}, \frac{5}{3}$
Open complete paper
7
2025 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2025 23RD APRIL MORNING SHIFT

If the tangent at the point $(2 \sec \theta, 3 \tan \theta)$ to the hyperbola $\frac{x^2}{4}-\frac{y^2}{9}=1$ is parallel to $3 x-y+4=0$, then the value of $\theta$ is

A
$45^{\circ}$
B
$60^{\circ}$
C
$30^{\circ}$
D
$90^{\circ}$
Open complete paper
8
2025 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2025 25TH APRIL EVENING SHIFT

The eccentricity of the hyperbola which passes through the points $(3,0)$ and $(3 \sqrt{2}, 2)$ is

A
$\sqrt{13}$
B
$\frac{\sqrt{13}}{4}$
C
$\frac{\sqrt{13}}{3}$
D
$\frac{\sqrt{13}}{2}$
Open complete paper
9
2026 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2026 16th April Morning Shift
If the line $y = 2x + \lambda$ is a tangent to the hyperbola $36x^2 - 25y^2 = 3600$, then $\lambda =$
A
$\pm 36$
B
$\pm 25$
C
$\pm 16$
D
$\pm 9$
Open complete paper
10
2026 · Mathematics · Coordinate Geometry · Hyperbola
MHT CET 2026 15th April Morning Shift
If the line $4x + 3y = 7$ touches the hyperbola $x^2 - y^2 = 7$, then the sum of the co-ordinates of the point of contact is...
A
$4$
B
$7$
C
$1$
D
$0$
Open complete paper