Let … be the centre of the circle … and … be a point on the circle. A line passes through the point …, makes an angle of … with the line … and intersects the circle at the points … and …. Then the area of the triangle … (in unit … ) is :

Circle

JEE Main 2022 · 28 Jul, Morning shift · Q3059

MathematicsMedium127×since 2002Q3059

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

\mathrm{C}

, makes an angle of

\frac{\pi}{4}

with the line

\mathrm{CP}

and intersects the circle at the points

Q

and

R

. Then the area of the triangle

P Q R

(in unit

^{2}

) is :