CAT - | PYQs + Solutions

CAT

Geometry

Hard

$4+2\sqrt{3}:1$

$7+4\sqrt{3}:1$

$2+\sqrt{3}:1$

$4+\sqrt{3}:1$

✅ Correct Option: 2

Related questions:

CAT 2019 Slot 1

In a circle of radius $11$ cm, $CD$ is a diameter and $AB$ is a chord of length $20.5$ cm. If $AB$ and $CD$ intersect at a point $E$ inside the circle and $CE$ has length $7$ cm, then the difference of the lengths of $BE$ and $AE$ , in cm, is

CAT 2023 Slot 1

Let $C$ be the circle $x^2 + y^2 + 4x - 6y - 3 = 0$ and $L$ be the locus of the point of intersection of a pair of tangents to $C$ with the angle between the two tangents equal to $60°$ . Then, the point at which $L$ touches the line $x = 6$ is

CAT 2024 Slot 3

A circular plot of land is divided into two regions by a chord of length $10\sqrt{3}$ meters such that the chord subtends an angle of $120^\circ$ at the center. Then, the area, in square meters, of the smaller region is

CAT (QA) PYQs

Keyboard Shortcuts