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Form the differential equation of family of standard circle

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प्रश्न

Form the differential equation of family of standard circle

योग
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उत्तर

The equation of family of standard circle with radius r is x2 + y2 = r2, where r is an arbitrary constant.

Differentiating w.r.t. x, we get

`2x + 2y ("d"y)/("d"x)` = 0

∴ `x + y ("d"y)/("d"x)` = 0

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