circle

Question: Circles ${{(x+a)}^{2}}+{{(y+b)}^{2}}={{a}^{2}}$ and ${{(x+\alpha )}^{2}}$ $+{{(y+\beta )}^{2}}=$ ${{\beta }^{2}}$ cut orthogonally, if

1) $a\alpha +b\beta ={{b}^{2}}+{{\alpha }^{2}}$

2) $2(a\alpha +b\beta )={{b}^{2}}+{{\alpha }^{2}}$

3) $a\alpha +b\beta ={{a}^{2}}+{{b}^{2}}$

4) None of these

Solution:

Explanation: No Explanation

System of circles

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