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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMaxima-MinimaMedium2 minPYQ_2004

MathematicsMediumsingle choice

A point on the parabola $y^{2} = 18 x$ at which the ordinate increases at twice the rate of the abscissa is

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Answer:

Solution:

Any point be $(\frac{9}{2} t^{2}, 9 t);$ differentiating $y^{2} = 18 x$ $\Rightarrow \frac{dy}{dx} = \frac{9}{y} = \frac{1}{t} = 2 (given) \Rightarrow t = \frac{1}{2} . \Rightarrow Point is (\frac{9}{8}, \frac{9}{2})$

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Maxima-Minima

⏱ 2mℹ️ Source: PYQ_2004

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