The length of the latus - rectum of the parabola x 2 – 4x – 8y + 12 = 0 is

Question

Philoid · Accepted Answer

Given equation of the parabola is x² - 4x - 8y + 12 = 0

⇒ x² - 4y + 12 = 8y

⇒ x² - 4x + 4 = 8y - 8

⇒ (x - 2)² = 8(y - 1)

Comparing with standard form of parabola (x - a)² = 4b(y - c) we get,

⇒ 4b = 8

We know that the that the length of the latus rectum is 4b.

∴The correct option is C