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99 Percentile Qs Bank for JEE MainMathematicsCircle

From a point P 3,3 on the circle x 2 + y 2 = 18 two chords P Q and P R each of length 2 units are drawn on this circle. Then, the value of the length P M is equal to (where, M is the midpoint of the line segment joining Q and R )

Options

  1. A1 3 2 units
  2. B1 2 units
  3. C2 3 units
  4. D4 9 units

Correct answer

C. 2 3 units

Step-by-step solution

Q M 2 = Q P 2 – P M 2 = O Q 2 - O M 2 ⇒ 4 - x 2 = 18 - 3 2 - x 2 (where, P M = x ) ⇒ 6 2 x = 4 ⇒ x = 2 3 units

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