Question

Find the length of Latus rectum of the parabola $y^2=10x$

Answer 1

Given the equation of the parabola is $y^2=10x$......(1).

We have for the parabola $y^2=4ax$......(2), the length of latus rectum is $4a$ units.

Comparing the equation (2) with (1) we get, $4a=10$.

So length of the latus rectum of (1) is $10$ units.