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The differential equation of the family ...

The differential equation of the family of circles of fixed radius `r` and having their centres on `y`-axis is:

A

`y_(2)(a^(2)-x^(2))=x^(2)`

B

`(y_(1))^(2)(a^(2)+x^(2))=x^(2)`

C

`(y_(1))^(2)(a^(2)-x^(2))=x^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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