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Maths-

General

Easy

Question

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

x = –1
x = 1
x = – $\frac{3}{2}$
x = $\frac{3}{2}$

The correct answer is: x = $fraction numerator 3 over denominator 2 end fraction$

The given equation can be written as
(y +2)² = –4 $open parentheses x minus fraction numerator 1 over denominator 2 end fraction close parentheses$
y² = 4AX
$rightwards double arrow$ A = –1. The directrix is X = –A
$rightwards double arrow$ $open parentheses x minus fraction numerator 1 over denominator 2 end fraction close parentheses$ = – (–1) $rightwards double arrow$ x = 3/2

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parallel

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