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  4. The common tangents to the circle x2 + y2 = 2 and the parabola y2 = 8 x touch the circle a t the points P, Q and the parabola at the points R, S. Then, the area (in sq units) of the quadrilateral PQRS is

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Q. The common tangents to the circle $ x^2 + y^2 = 2 $ and the parabola $ y^2 = 8 x $ touch the circle a t the points $P, Q$ and the parabola at the points $R, S$. Then, the area
(in sq units) of the quadrilateral $PQRS$ is

JEE AdvancedJEE Advanced 2014Conic Sections

Solution:

Area $=\left(\frac{1}{2}(1+4) 3\right) \times 2=15$

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