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Terminologies Related to a Parabola

The Equation ...

Question

The Equation of the directrix to parabola $y^{2} = 8 x$ is _____

A

x + 2 = 0

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B

x + 3 = 0

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C

x + 1 = 0

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D

x = 0

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Solution

The correct option is A
x + 2 = 0

In the previous sections, we have already studied how to find the equation of directrix

The Equation of the directrix to parabola $y^{2} = 4 a x$ is $x + a = 0$

For Parabola $y^{2} = 8 x$

$a = 2$

Equation of the directrix is $x + 2 = 0$

Option A is correct.

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Similar questions

Q. Equation of the line passing through points of intersection of the parabola

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x^{2} + \frac{y^{2}}{3} = 1

Q. The equation of the parabola with focus (0, 0) and directrix x + y = 4 is
(a) x² + y² − 2xy + 8x + 8y − 16 = 0
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