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  1. Two circles touch each other externally at point A and PQ is a direct common tangent which touches the circles at P and Q respectively. Then ∠PAQ =
    1. 45°
    2. 90°
    3. 80°
    4. 100°
Correct Option: B

According to question , we draw a figure of two circles touch each other externally at point A and PQ is a direct common tangent ,

AO is perpendicular to PQ.
OA = OP = OQ.
⇒ ∠OPA = ∠OAP = ∠OQA = ∠OAQ = 45°
∴ ∠PAQ = 90°



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