jee-advanced 2013 Q55

jee-advanced · India · paper2 Conic sections Focal Chord and Parabola Segment Relations
Let $P Q$ be a focal chord of the parabola $y ^ { 2 } = 4 a x$. The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $y = 2 x + a , a > 0$.
Length of chord $P Q$ is
(A) $7 a$
(B) $5 a$
(C) $2 a$
(D) $3 a$
Let $P Q$ be a focal chord of the parabola $y ^ { 2 } = 4 a x$. The tangents to the parabola at $P$ and $Q$ meet at a point lying on the line $y = 2 x + a , a > 0$.

Length of chord $P Q$ is

(A) $7 a$

(B) $5 a$

(C) $2 a$

(D) $3 a$