Let C be the centre of the circle x²+y²-x+2 y=11/4 and P be a point on the circle. A line passes through the point C, makes an angle of (π)/4 with the line CP and intersects the circle at the points Q and R. Then the area of the triangle P Q R (in unit ²) is:

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Morning shift · Q3059

JEE Main 202228 Jul, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

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 :