Find the point on the curve `y^2dot` `8xdot` for which the abscissa and ordinate change at the same rate.

Explanation

here,

`y^{2}=8 x ldots(1)`
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Rightarrow 2 y frac{d y}{d t}=8 frac{d x}{d t} `
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Rightarrow 2 y=8[because frac{d y}{d t}=frac{d x}{d t}] `
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Rightarrow y=4 `
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Rightarrow x=frac{y^{2}}{8}[text { From eq . (1) }] `
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Rightarrow x=frac{16}{8}=2`


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