The question is from the topic circles. It tests the understanding of the concept angles. CAT Geometry questions are heavily tested in CAT exam. Make sure you master Geometry problems. We have to verify the following options and choose the correct one.
Question 39: In the below figure which of the following holds good?
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
The question is "In the figure which of the following holds good?"
Choice A is the correct answer.
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