Question

The equation of the parabola having (2, 4) and (2, -4) as end points of its latus rectum is ________ 

(A) y² = 4x 

(B) y² = 8x 

(C) y² = -16x 

(D) x² = 8y

Answer 1

Correct option is: (B) y² = 8x

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

∴ Equation of the parabola is y² = 4ax 

End points of latus rectum are (a, 2a) and (a, -2a) 

∴ a = 2 

∴ required equation of parabola is y² = 8x