1 
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

2 
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

3 
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

4 
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

5 
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

6 
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

7 
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

8 
In the given figure, a circle is inscribed in the square such that it touches all four sides of the ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

9 
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

10 
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

11 
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

12 
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

13 
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

14 
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

15 
In the given figure, two circles with their centres O and O’ intersect each other at A and B. ...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

16 
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

17 
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

18 
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

19 
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

20 
If ABO = 20o and ACO =25o, then the measure of BOC is: Type in your answer as in Integer. For exa...
CAT
Quantitative Ability
Geometry
Circles
Properties of Circles

21 
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

22 
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

23 
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

24 
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

25 
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
