Question

The length of the chord of the parabola y² = 4ax which is a normal at one end of a latus rectum is

• A. a$\sqrt{2}$
• B. 4a$\sqrt{2}$
• C. 8a$\sqrt{2}$
• D. 8a

Answer 1

Answer: (C)

8a$\sqrt{2}$

Answer 2

One end of the latusrectum L = (a, 2a). Here t = 1

∴ The length of normal chord at

L = $\frac{4a(1 + t^{2})^{3/2}}{t^{2}}$ = 8$a\sqrt{2}$