CAT Practice : Coordinate Geometry

You are here: Home  CAT Questionbank   CAT Quant  Geometry: Triangles  Question 39
Circles and Quadrilaterals

Circles

    Q.39:
    In the above figure which of the following holds good?
    1. ∠SQO = ∠ROP
    2. 2 ∠ROP = ∠SOR
    3. ∠POR = ∠ASO
    4. ∠QOX’ = ∠SOR + ∠ROP

 

  • Correct Answer
    Choice (A). ∠SQO = ∠ROP

Detailed Solution

In the figure,

Let ∠ POX = x° , ∠ROP = y°
∴ From properties of circle,
∠POX = ∠PQO = x°
And, ∠ROX = ∠RSO = x° + y°
Now, in ∆ SQO, ∠ RSO is the exterior angle
∴ ∠SQO + ∠SOQ = x + y
=) x + ∠SOQ = x + y
=) ∠ SOQ = y = ∠ROP




Correct Answer: (A). = ∠SQO = ∠ROP



Our Online Course, Now on Google Playstore!

2IIM's App

Fully Functional Course on Mobile

All features of the online course, including the classes, discussion board, quizes and more, on a mobile platform.


Cache Content for Offline Viewing

Download videos onto your mobile so you can learn on the fly, even when the network gets choppy!

Get it on Google Play
Geometry is probably the most vital topic as far as CAT preparation is concerned. Geometry sets the stage for Trigonometry, Cogeo and Mensuration as well.