QJEEAdv07Ma57a3: JEE Advanced 2007 Mathematics - Class 11 JEEAdv07Ma57a3 Solution: Consider the circle and the parabola . They intersect at and in …

Question

Verified Solution • 2025–26 Session moderate

Consider the circle

{x^2} + {y^2} = 9

and the parabola

{y^2} = 8x

. They intersect at

P

and

Q

in the first and the fourth quadrants, respectively. Tangent to the circle at

P

and

Q

intersect the

x

-axis at

R

and tangents to the parabola at

P

and

Q

intersect the

x

-axis at

S

.

The ratio of the areas of the triangles $PQS$ and $PQR$ is

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