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JEE Advanced 2014Paper 2
Exam
JEE Advanced
Year
2014
Paper
Paper 2
Subject
Mathematics
Chapter
Parabola

JEE Advanced 2014 · Paper 2 · Mathematics · Parabola

The common tangents to the circle x ^ 2 + y ^ 2 = 2 and the...

The common tangents to the circle x2+y2=2{x}^{2} + {y}^{2} = 2 and the parabola y2=8x{y}^{2} = 8x touch the circle at the points P, and Q the parabola at the points R, S. Then the area of the quadrilateral PQRS isThe common tangents to the circle x ^ 2 + y ^ 2 = 2 and the parabola y ^ 2 = 8x touch the circle at the points P, and Q

Options

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

Correct answer

D. 15

Step-by-step solution

Area =(12(1+4)3)×2=15= \left(\dfrac{1}{2}\left(1 + 4\right)3\right) \times 2 = 15

The common tangents to the circle x ^ 2 + y ^ 2 = 2 and the parabola y ^ 2 = 8x touch the circle at the points P, and Q

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