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Circle question

2022 · 28 Jul · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Circle
2022 · 28 Jul · Shift 1 · Q32

Circle question

2022 · 28 Jul · Shift 1 · Q32

JEE MainMathematicsCircleMCQ+4 / −1

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 :

A
2
B
2 $\sqrt2$
C
$8 \sin \left(\frac{\pi}{8}\right)$
D
$8 \cos \left(\frac{\pi}{8}\right)$

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