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Question
Select the correct option from the given alternatives:
Equation of the parabola with vertex at the origin and directrix x + 8 = 0 is __________
Options
y2 = 8x
y2 = 32x
y2 = 16x
x2 = 32y
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Solution
y2 = 32x
Explanation:
Since directrix is parallel to Y-axis,
X-axis is the axis of the parabola.
Let the equation of parabola be y2 = 4ax.
Equation of directrix is x + 8 = 0
∴ a = 8
∴ required equation of parabola is y2 = 32x
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