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class 12 Math Calculus Differential Equations

The differential equation of all circles passing through the origin and having their centres on the x-axis is

(a)

x^{2} = y^{2} + x y \frac{d y}{d x}

(b)

x^{2} = y^{2} + 3 x y \frac{d y}{d x}

(c)

y^{2} = x^{2} + 2 x y \frac{d y}{d x}

(d)

y^{2} = x^{2} - 2 x y \frac{d y}{d x}

Correct answer: (c)

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Similar topics

relations and functions

integrals

trigonometric functions

inverse trigonometric functions

application of derivatives

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relations and functions

integrals

trigonometric functions

inverse trigonometric functions

application of derivatives

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\frac{d y}{d x} = \frac{1}{( 2 + 5 x ) ( 5 x - 2 )}

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Home
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Copyright FILO EDTECH PVT. LTD. 2021