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_1y^2 +xy +a^2y^2 =0`

C

`y_1(y^2-x^2+a^2) +2xy =0`

D

`y_1(y^2+x^2) -2xy +a^2 =0`

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The correct Answer is:

C

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