Question

Let $C$ be the centre of the circle $x^2+y^2-x+2 y=\frac{11}{4}$ and $P$ be a point on the circle A line passes through the point $C$, makes an angle of $\frac{\pi}{4}$ with the line CP and intersects the circle at the points $Q$ and $R$ Then the area of the triangle $PQR$ (in unit ${ }^2$) is :

• A. 2
• B. $2 \sqrt{2}$
• C. $8 \sin \left(\frac{\pi}{8}\right)$
• D. $8 \cos \left(\frac{\pi}{8}\right)$

Answer 1

Answer: (B)

$2 \sqrt{2}$

Answer 2

The correct option is (B): $2\sqrt{2}$