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Parabola question

2007 · Shift 1 · Q41

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PYQ Library
JEE Advanced
Mathematics
Parabola
2007 · Shift 1 · Q41

Parabola question

2007 · Shift 1 · Q41

JEE AdvancedMathematicsParabolaMCQ+3 / −1

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. Tangents 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 radius of the incircle of the triangle PQR is

A
4 units
B
3 units
C
$\frac{8}{3}$ units
D
2 units

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