SSC CGL Tier II 12 Apr 2015 Paper

Question : 36 of 100

Marks: +1, -0

Let P and Q be two points on a circle with centre O. If two tangents of the circle through P and Q meet at A with ∠PAQ = 48°, then ∠APQ is

Solution:

(3)

∠ PAQ = 48°
AP = AQ = tangents from the same exterior point.
∴ In ΔAPQ,
∠APQ = ÐAQP
∴ 2 ∠APQ = 180° – 48° = 132°
⇒ ∠ APQ =

132/2

= 66°

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