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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

The tangent at any point on the curve $x = a cos^{3} θ, y = a sin^{3} θ$ meets the axes in P and Q . The locus of the mid point of PQ is

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Solution:

Equation of tangent at $θ$ is $\frac{x}{a c o s θ} + \frac{y}{a s i n θ} = 1 \Rightarrow P = (a cos θ, 0), Q = (0, a sin θ)$ . Locus of midpoint of PQ is $4 (x^{2} + y^{2}) = a^{2}$

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

⏱ 2mℹ️ Source: QB

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