JEE Advance - Mathematics (1996 - No. 27)
From a point $$A$$ common tangents are drawn to the circle $${x^2} + {y^2} = {a^2}/2$$ and parabola $${y^2} = 4ax$$. Find the area of the quadrilateral formed by the common tangents, the chord of contact of the circle and the chord of contact of the parabola.
$$ rac{15a^2}{4}$$
$$ rac{17a^2}{4}$$
$$ rac{13a^2}{4}$$
$$ rac{11a^2}{4}$$
$$ rac{9a^2}{4}$$