Paragraph for Questions (i) and (ii) Let PQ be a focal chor…

Maths JEE - Advanced Previous Year Paper JEE-Advanced-2013-Paper-2 Single Correct MCQ

Published on: August 14, 2026

Paragraph for Questions (i) and (ii)

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 > 0.

(i) Length of chord PQ is

3a (ii) If chord PQ subtends an angle

at the vertex of y 2 = 4ax, then tan

Text Solution

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The correct answer is:

CHECK THE SOLUTION.

(i)

Let P(at 2 , 2at) , as PQ is focal chord

Point of intersection of tangents at P and Q

as point of intersection lies on y = 2x + a

Length of focal chord =

(ii)

Angle made by chord PQ at vertex (0, 0) is given by

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