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Area between x=g(y) and y Axis

The different...

Question

The differential equation of the family of curves represented by the equation $x^{2} + y^{2} = a^{2}$ is

A

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B

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C

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D

None of these

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Solution

The correct option is A

Given equation $x^{2} + y^{2} = a^{2} .$
Differentiate it w.r.t.x,
we get $2 x + 2 y \frac{d y}{d x} = 0 \Rightarrow x + y \frac{d y}{d x} = 0.$

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