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Question
Select the correct option from the given alternatives:
The equation of the parabola having (2, 4) and (2, –4) as endpoints of its latus rectum is _________
Options
y2 = 4x
y2 = 8x
y2 = –16x
x2 = 8y
Solution
y2 = 8x
Explanation:
The given points lie in the 1st and 4th quadrants.
∴ Equation of the parabola is y2 = 4ax
Endpoints of latus rectum are (a, 2a) and (a, – 2a)
∴ a = 2
∴ required equation of a parabola is y2 = 8x
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