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Parabola question

2015 · Shift 1 · Q25

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PYQ Library
JEE Advanced
Mathematics
Parabola
2015 · Shift 1 · Q25

Parabola question

2015 · Shift 1 · Q25

JEE AdvancedMathematicsParabolaNumerical+4 / −1

If the normals of the parabola

{y^2} = 4x

drawn at the end points of its latus rectum are tangents to the circle

{\left( {x - 3} \right)^2} + {\left( {y + 2} \right)^2} = {r^2}

, then the value of

{r^2}

is

Numerical answer

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