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Definition of Hyperbola

Represent the...

Question

Represent the families of curves by forming the corresponding differential equations, where a and b are parameters.
$x^{2} + y^{2} = a^{2}$

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Solution

$x^{2} + y^{2} = a^{2}$
$2 x + 2 y \frac{d y}{d x} = 0$
$\frac{d y}{d x} = \frac{- x}{y}$

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