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KVPY2014MathematicsCircle

Suppose S₁ and S₂ are two unequal circles; A B and C D are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S . If AB =10 , then RS is.

Options

  1. A8
  2. B9
  3. C10
  4. D11

Correct answer

C. 10

Step-by-step solution

array ll RP = RA =10- & R S=10- + Also SQ = SD =10- & R S=10- + array (1) and (2) = , Hence RS =10

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