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Parabola question

2011 · Shift 1 · Q32

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PYQ Library
JEE Advanced
Mathematics
Parabola
2011 · Shift 1 · Q32

Parabola question

2011 · Shift 1 · Q32

JEE AdvancedMathematicsParabolaNumerical+4 / −1

Consider the parabola

{y^2} = 8x

. Let

{\Delta _1}

be the area of the triangle formed by the end points of its latus rectum and the point

P\left( {{1 \over 2},2} \right)

on the parabola and

{\Delta _2}

be the area of the triangle formed by drawing tangents at

P

and at the end points of the latus rectum. Then

{{{\Delta _1}} \over {{\Delta _2}}}

is

Numerical answer

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