Question

Select the correct option from the given alternatives:

The equation of the parabola having (2, 4) and (2, –4) as endpoints of its latus rectum is _________

Options

• y² = 4x

• y² = 8x

• y² = –16x

• x² = 8y

Answer 1

y² = 8x

Explanation:

The given points lie in the 1^st and 4^th quadrants.

∴ Equation of the parabola is y² = 4ax

Endpoints of latus rectum are (a, 2a) and (a, – 2a)

∴ a = 2

∴ required equation of a parabola is y² = 8x