Question

The equation of the directrix of the parabola y² +4x+4y+2 = 0 is

a. x = –1

b. x = 1

c. x = \(\frac{-3}2\)

d. x = \(\frac{3}2\)

Answer 1

Correct option is  d. x = \(\frac{3}2\)

y² + 4y = –4x–2

(y+2)² = –4  x - 1/2

y² = –4AX

Equation of directrix is X = A i.e

\(x-\frac{1}2=1\)

2x–3 = 0

or \(x=\frac{3}2\)