JEE Main 2022 (28 Jul, Shift 1) Maths Q12: Conic Sections

Question

Let C be the centre of the circle $x^2+y^2-x+2y=\frac{11}{4}$ 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 :

Accepted Answer

Option 2: $2\sqrt{2}$

Answer

$2$

Answer

$2\sqrt{2}$

Answer

$8\sin\left(\frac{\pi}{8}\right)$

Answer

$8\cos\left(\frac{\pi}{8}\right)$

JEE Main 28 July 2022, Shift 1, Maths Q12