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Q.

A point on the parabola y2 = 18x at which the ordinate increases at twice the rate of the abscissa is

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a

−98,92

b

(2,−4)

c

(2,4)

d

98,92

answer is D.

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Detailed Solution

y2=18x⇒2ydydx=18⇒dydx=9yWe are given dydx=2so 9y=2⇒y=92and x=118y2⇒x=98and the required point is 98,92
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