Question

The length of the normal chord of the parabola y2 = 16x
which subtends a right angle at its focus is​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Parabola is}\;\mathsf{y^2=16x}$

$\underline{\textsf{To find:}}$

$\textsf{Length of the normal chord of the parabola}$

$\underline{\textsf{Solution:}}$

$\textsf{Concept used:}$

$\textsf{Latusrectum is a focal chord normal to axis of the parabola}$

$\textsf{Length of latusrectum is 4a }$

$\textsf{Comparing the given equation with}\;\math{y^2=4ax}$

$\textsf{we get,}\,\mathsf{4a=16}$

$\textsf{Length of the normal chord}$

$\mathsf{=4a}$

$\mathsf{=16}$

$\underline{\textsf{Answer:}}$

$\textsf{Length of the normal chord of the parabola is 16}$