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Parabola question

2014 · Shift 2 · Q32

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PYQ Library
JEE Advanced
Mathematics
Parabola
2014 · Shift 2 · Q32

Parabola question

2014 · Shift 2 · Q32

JEE AdvancedMathematicsParabolaMCQ+3 / −1

Let

a, r, s, t

be nonzero real numbers. Let

P\,\,\left( {a{t^2},2at} \right),\,\,Q,\,\,\,R\,\,\left( {a{r^2},2ar} \right)

and

S\,\,\left( {a{s^2},2as} \right)

be distinct points on the parabola

{y^2} = 4ax

. Suppose that

PQ

is the focal chord and lines

QR

and

PK

are parallel, where

K

is the point

(2a,0)

The value of

r

is

A
$- {1 \over t}$
B
${{{t^2} + 1} \over t}$
C
${1 \over t}$
D
${{{t^2} - 1} \over t}$

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