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JEE Math Practice Question

Let the tangent to the circle x2 + y2 = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, then r2 is equal to :

  1. A.$${{585} \over {66}}$$
  2. B.$${{625} \over {72}}$$
  3. C.$${{529} \over {64}}$$
  4. D.$${{125} \over {72}}$$

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