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A point on the parabola y^2=18 x at whic...

A point on the parabola `y^2=18 x` at which the ordinate increases at twice the rate of the abscissa is (2,6) (b) `(2,-6)` `(9/8,-9/2)` (d) `(9/8,9/2)`

Text Solution

Verified by Experts

`(y_1^2/18,y_1)` be a point on the parabola`y^2=18x`
`(dy)/(dx)=18/(2y)=9/y`
`(dy)/(dx)=((dy)/(dt))/((dx)/(dt))=9/y`
`9/y_1=2`
`y_1=9/2`
`x_1=y_1^2/18=9^2/18=9/18`
option d is correct.
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