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      Question

      Two chords AB and CD intersect each other at point 'P'

      (inside the circle) . If CP = 12 cm, DP = 15 cm and AP = 20 cm, then find BP.
      A 12 cm Correct Answer Incorrect Answer
      B 9 cm Correct Answer Incorrect Answer
      C 8 cm Correct Answer Incorrect Answer
      D 10 cm Correct Answer Incorrect Answer

      Solution

      Image

      If two chords AB and CD intersect each other at 'P', then AP X BP = CP X DP

      So, AP x BP = CP x DP

      Or, 20 x BP = 12 x 15

      Or, 20 x BP = 180

      Or, BP = 9 cm

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