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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minPYQ_2023

MathematicsMediumsingle choice

For the curve $y^{n} = a^{n - 1} x$ if the subnormal at any point is a constant then $n$ is equal to

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Solution:

For the curve $y^{n} = a^{n - 1} x$ On putting $n = 2$ , we get $y^{2} = ax$ Which is curve of the form of parabola, where the subnormal at any point is a constant. $∴ n = 2 .$

Stream:VITEEESubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: PYQ_2023

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