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Two tangents PA and PB are drawn from an external point P to a circle with centre O. If angle APB = 60°, then angle AOB equals:

Class 10Number of Tangents from a PointGeometry
  • A60°
  • B90°
  • C120°
  • D150°

Step-by-Step Solution

In quadrilateral OAPB, angle OAP = angle OBP = 90°. So angle AOB + angle APB = 180°, giving angle AOB = 180 - 60 = 120°.
Answer: C) 120°

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