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A line drawn through the point P 4 , 7 cuts the circle x 2 + y 2 = 9 at the points A and B . Then P A · P B is equal to.

Options

  1. A74
  2. B53
  3. C56
  4. D65

Correct answer

C. 56

Step-by-step solution

As we know, P A . P B = P T 2 = S 1 2 S 1 = 16 + 49 − 9 = 56 ⇒ S 1 2 = 56 ⇒ P A . P B = 56

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