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      Question

      In a circle, two chords AB & CD are produced at P which

      is outside the circle . If PA= 12 cm, AB= 10 cm , PC = 2 cm then find CD.
      A 42 cm Correct Answer Incorrect Answer
      B 180 cm Correct Answer Incorrect Answer
      C 168 cm Correct Answer Incorrect Answer
      D 130 cm Correct Answer Incorrect Answer

      Solution

      We know that when AB & CD two chords intersect at point P, PA `xx` PB = PC `xx` PD So 12 `xx` (12 + 10) = 2 `xx` (2 + CD)   264 = 2 `xx` (2 + CD)   132 = 2 + CD   CD = 130  cm

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