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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

Co-ordinates of a point on the curve $y = x lo g x$ at which the normal is parallel to the line $2 x - 2 y = 3$ , are

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Answer:

Solution:

Slope of the normal $= \frac{- 1}{1 + l o g x} = 1 \Rightarrow 1 + lo g x = - 1 \Rightarrow x = e^{- 2}$ $\Rightarrow y = e^{- 2} lo g e^{- 2} = - 2 e^{- 2} ∴$ the point is $(e^{- 2}, - 2 e^{- 2})$

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

⏱ 2mℹ️ Source: QB

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