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JEE Advanced2014MathematicsParabolaActual

The common tangents to the circle x 2 + y 2 = 2 and the parabola y 2 = 8 x touch the circle at the points P, and Q the parabola at the points R, S. Then the area of the quadrilateral PQRS is

Options

  1. A3
  2. B6
  3. C9
  4. D15

Correct answer

D. 15

Step-by-step solution

Area = 1 2 1 + 4 3 × 2 = 15

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