Passage for Q. (392 to 394 ) : Consider the circle $x^{2}+y^{2}=9$ and the parabola $y^{2}=8 x$. The

Question

Passage for Q. (392 to 394 ) : Consider the circle $x^{2}+y^{2}=9$ and the parabola $y^{2}=8 x$. They intersect at $P$ and $Q$ in the first and the fourth quadrants, respectively. Tangents to the circle at $P$ and $Q$ intersect the $x$-axis at $R$ and tangents to the parabola at $P$ and $Q$ intersect the $x$-axis at $S$.\The ratio of the areas of the triangles $P Q S$ and $P Q R$ is\

Professor PC Thomas Classes · Answer

(c) : Area of $	riangle P Q R=\frac{1}{2} 	imes 4 \sqrt{2} 	imes 8$ $=16 \sqrt{2}$ sq. units.\ Area of $	riangle P Q S=\frac{1}{2} 	imes 2 	imes 4 \sqrt{2}=4 \sqrt{2}$ sq. units $\frac{\operatorname{ar}(	riangle P Q S)}{\operatorname{ar}(	riangle P Q R)}=\frac{1}{4}$\