IPMAT Indore Geometry > QuadrilateralsFree, no login required.

Q1:

IPMAT Indore 2026

Geometry > Quadrilaterals

Easy

Let $ABCD$ be a cyclic quadrilateral with $AB = 15, BC = 20, CD = 24$ and $AC = 25$. Then $AD$ equals ___

Entered answer:

Correct Answer

Explanation

Q2:

IPMAT Indore 2021

Geometry > Quadrilaterals

Medium

ABCD is a quadrilateral whose diagonals AC and BD intersect at O. If triangles AOB and COD have areas 4 and 9 respectively, then the minimum area that ABCD can have is

Correct Answer

Option 2

Correct Answer

Explanation

Q3:

IPMAT Indore 2019

Geometry > Quadrilaterals

Medium

Points $P$, $Q$, $R$, and $S$ are taken on sides $AB$, $BC$, $CD$, and $DA$ of square $ABCD$ respectively, so that $\frac{AP}{PB} = \frac{BQ}{QC} = \frac{CR}{RD} = \frac{DS}{SA} = \frac{1}{n}$. Then the ratio of the area of $PQRS$ to the area of $ABCD$ is

$1 : (1 + n)$

$1 : n$

$1 + n^2 : (1 + n)^2$

$(1 + n) : (1 + n^2)$

Correct Answer

Option 3

Correct Answer

Explanation