1 AB is the diameter of the given circle, while points C and D lie on the circumference as shown. If A...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents
2 PQRS is a square. SR is a tangent (at point S) to the circle with centre O and TR = OS. Then the rat...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents
3 Two chords AB and CD of a circle intersect at E such that, AE = 2.4 cm, BE = 3.2 cm and CE = 1.6 cm....
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
4 In the given triangle ABC, DE is drawn parallel to BC such that AD:DB is 2:1 and DE is 14 cm. A circ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
5 In the given figure, PS is a tangent to a circle with radius 10 cm and centre at O. PQ = 9 cm and th...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
6 For the figure given below, find the value of x   Type in your answer as in integer. For e...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Secant
7 What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of rad...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
8 In the given figure, AD=BA, BDA=54o, BC and CD are tangents to the circle with centre O. Measure of ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
9 In the figure given below, AP and PB are tangents to the circle with radius 5 cm. Find the length of...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
10  In the given figure AMD, APQ and ASR are secants to the given circles. IF AM=4 cm, MD=6 cm and...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
11 An arc makes an angle of 72o at the centre of a circle of radius 10 cm. Length of the arc is ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
12 Two concentric circles have radii 5 cm and 3 cm. The length of the chord of the larger circle which ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
13 In the given figure, measure of BAC is Type in your answer as Integer. For example, 23.7 to 24. ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
14 In the figure given below, the measure of angle PRQ is 75o. QP and QR are tangents to the circle. Me...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
15 In the figure given below, O is the center of the center,  MNO=20o, and NMP=60o, the measu...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
16 The given figure shows a circle with centre O. AB is a chord on the circle such that AP=(11x+2) cm, ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Chord
17 A rectangle is inscribed in a circle centre O as shown below, with AB = 5, BC = 12 and angle &a...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
18 The measure of ADB is: Type in your answer as in Integer. For example, 62.3 to 62. ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
19 In the given figure, O as center the of the circle, AB = BC = radius of circle. Find the measurement...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
20 PR and QP are tangents to the bigger circle, PS and PR are tangents to the smaller circle. Length of...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Tangent
21 The diagram below shows a circle with centre O and AB parallel to CD. Given the angles 75◦ and ...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle
22 ABCD is quadrilateral inscribed inside a circle with centre O such that AB is the diameter of the ci...
CAT Quantitative Ability Geometry Circles Properties of Circles Chords, Secants andTangents Angles in a Circle