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NTA Abhyas JEE Main2020MathematicsCirclePractice

Let P Q and R S be the tangents at the extremities of the diameter P R of a circle of radius r . If P S and R Q intersect at a point X on the circumference of the circle, then the value of 2 r is equal to

Options

  1. APQ · RS
  2. BPQ + RS 2
  3. C2 PQ · RS PQ + RS
  4. DPQ 2 + RS 2 2

Correct answer

A. PQ · RS

Step-by-step solution

From the figure, it is clear that Δ PRQ and Δ RSP are similar. ∴ PR RS = PQ RP ⇒ PR 2 = PQ · RS ⇒ PR = PQ · RS ⇒ 2 r = PQ · RS

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