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      Question

      In the figure P is a point which is 12 cm away from the

      centre of the circle O. A line drawn from P point cuts circle at point A and B respectively. If PB = 9 cm, AB = 2 cm Then find out the radius of the circle?
      A 6 cm Correct Answer Incorrect Answer
      B 3 cm Correct Answer Incorrect Answer
      C 9 cm Correct Answer Incorrect Answer
      D 5 cm Correct Answer Incorrect Answer

      Solution

      Let the radius of a circle = r cm. PO = 12 cm then, PC = 12 cm - r PC = 12 - r PD = 12 + r тИ╡ PB = 9 cm AB = 2 cm тИ┤ then PA = 9 - 2 = 7 cm PA ├Ч PB = PC ├Ч PD 7 ├Ч 9 = (12-r) (12+r) 63 = 144 - r┬▓ r┬▓ = 144 - 63 = 81 r = тИЪ81┬а r = 9 cm

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