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Tangents PA and PB are drawn to a circle of radius 5 cm from a point P that is 13 cm from the centre. What is the length of the chord AB joining the points of contact?

Competition practiceGeometry
  • A120/13 cm
  • B60/13 cm
  • C10 cm
  • D12 cm

Step-by-Step Solution

PA = cm. OP is the perpendicular bisector of AB, and half of AB is the altitude of right triangle OAP: . So AB = cm ≈ 9.2 cm.
Answer: A) 120/13 cm

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