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Parabola question

2013 · Shift 2 · Q31

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PYQ Library
JEE Advanced
Mathematics
Parabola
2013 · Shift 2 · Q31

Parabola question

2013 · Shift 2 · Q31

JEE AdvancedMathematicsParabolaMCQ+4 / −1

Let

PQ

be a focal chord of the parabola

{y^2} = 4ax

. The tangents to the parabola at

P

and

Q

meet at a point lying on the line

y=2x+a

,

a\gt 0

. If chord

PQ

subtends an angle

\theta

at the vertex of

{y^2} = 4ax

, then tan

\theta =

A
${2 \over 3}\sqrt 7$
B
${-2 \over 3}\sqrt 7$
C
${2 \over 3}\sqrt 5$
D
${-2 \over 3}\sqrt 5$

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