If the parabola y 2 = 4ax passes through the point (3, 2), then find the length of its latus - rectum.

Question

Philoid · Accepted Answer

Given that we need to find the length of the latus - rectum of the parabola y² = 4ax which passes through the point (3, 2).

We know that the length of the latus - rectum of parabola y² = 4ax is 4a.

Substituting the given point in the equation of parabola we get,

⇒ (2)² = 4a(3)

⇒ 4 = 4a(3)

⇒

∴The length of the latus - rectum is .