IPMAT Indore: GeometryConic Sections. Free, no login required.

Q1:

IPMAT Indore 2026

Geometry

Conic Sections

Hard

A circle of non-zero radius has origin as its centre. If it passes through the point of intersection of two curves $y^2 = 4ax$ and $x^2 = 4ay$ , then its equation is

$x^2 + y^2 = 16a^2$

$x^2 + y^2 = 4a^2$

$x^2 + y^2 = 32a^2$

$x^2 + y^2 = a^2$

Correct Answer

Option 3

Correct Answer

Explanation

Q2:

IPMAT Indore 2023

Geometry

Conic Sections

Easy

The equation $x^2 + y^2 - 2x - 4y +5 = 0$ represents

a pair of straight lines

a circle

an ellipse

a point

Correct Answer

Option 4

Correct Answer

Explanation

Q3:

IPMAT Indore 2022

Geometry

Conic Sections

Medium

The curve represented by the equation $\dfrac{x^{2}}{\sin \sqrt{2}-\sin \sqrt{3}}+\dfrac{y^{2}}{\cos \sqrt{2}-\cos \sqrt{3}}=1$ is

an ellipse with the foci on the y-axis

an ellipse with the foci on the x-axis

a hyperbola with the foci on the x-axis

a hyperbola with the foci on the y-axis

Correct Answer

Option 1

Correct Answer

Explanation

IPMAT Indore: GeometryConic Sections. Free, no login required.

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