Find the limiting points of the circles ...

Find the limiting points of the circles `(x^(2)+y^(2)+2gx+c)+lamda(x^(2)+y^(2)+2fy+d)=0`
and show that the square of the distance between them is
`(( c-d)^(2)-4f^(2)g+4cf^(2)+4dg^(2))/(f^(2)+g^(2))`

Verified by Experts

The correct Answer is:

`([( c-d)^(2)-4f^(2)g+4cf^(2)+4dg^(2)])/(f^(2)+g^(2))`

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