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Question

A point on the parabola y2=18x at which the ordinate increase at twice the rate of the abscissa is _______, (dxdt0).

A
(98,92)
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B
(2,4)
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C
(98,92)
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D
(2,4)
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Solution

The correct option is A (98,92)
Ordinate increases at twice the rate of abscissa means
dy=2dx
dydx=2
Now,
y2=18x
2ydydx=18
2y×2=18
y=92
Now, x=y218=814×18=98
The point is (98,92)

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