If the parabola y2 = 4ax passes through the point (3, 2), then find the length of its latus - rectum.
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 .