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Tangents PA and PB to a circle make ∠APB = 60°, and PA = 10 cm. How long is the chord AB?

Class 10Tangent Lengths and IncirclesGeometry
  • A5 cm
  • B
  • C10 cm
  • D20 cm

Step-by-Step Solution

PA = PB, so triangle PAB is isosceles with apex angle 60°. Its base angles are (180° − 60°)/2 = 60° each, so it is equilateral and AB = 10 cm.
Answer: C) 10 cm

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