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  1. 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
    1. 96°
    2. 48°
    3. 66°
    4. 60°
Correct Option: C

On the basis of question we draw a figure of a circle with centre O ,

Given , ∠ PAQ = 48°
AP = AQ = tangents from the same exterior point.
∴ In ∆ APQ,
∠APQ = ∠AQP
∴ 2 ∠APQ = 180° – 48° = 132°

⇒ ∠ APQ =
132
= 66°
2



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