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Obtain the differential equation of the ...

Obtain the differential equation of the family of circles passing through the point (a,0) and (-a,0).

A

`y_(1)(y^(2)-x^(2))+2xy+a^(2)=0`

B

`y_(1)y^(2)+xy+a^(2)x^(2)=0`

C

`y_(1)(y^(2)-x^(2)+a^(2))+2xy=0`

D

`y_(1)(y^(2)+x^(2))-2xy+a^(2)=0`

Text Solution

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The correct Answer is:
C
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