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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

For $x = t^{2} - 1, y = t^{2} - t$ , the tangent line is perpendicular to x -axis when

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Solution:

$\frac{d y}{d x} = tan θ = \infty \Rightarrow \frac{d x}{d t} = 0, \frac{d y}{d t} \neq = 0$ $2 t = 0$ and $2 t - 1 \neq = 0 \Rightarrow t = 0$ and $t \neq = 1/2$

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

⏱ 2mℹ️ Source: QB

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