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The differential equation of family of c...

The differential equation of family of curves `x^(2) + y^(2) - 2ay = 0` where 'a' is arbitrary constant is

A

`(x^(2) + y^(2))y_(1) = 2xy`

B

`2(x^(2) + y^(2)) y_(1) = xy`

C

`(x^(2) - y^(2)) y_(1) = 2xy`

D

`2(x^(2) - y^(2))y_(1) = xy`

Text Solution

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The correct Answer is:
C
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