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A particle moves along the curve x^(2)=2...

A particle moves along the curve `x^(2)=2y`. At what point, ordinate increases at the same rate as abscissa increases ?

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`x^2y......(1)`
`rArr2x(dx)/(dt)=2(dy)/(dt)" "("given "(dy)/(dt)=(dx)/(dt))`
`rArr 2x(dx)/(dt)=2(dx)/(dt)`
`rArr x=1`
from (1) `y=(1)/(2)`
so point is `(1,(1)/(2))`
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