1.

The length of common chord of the circles \[{{(x-a)}^{2}}+{{y}^{2}}={{a}^{2}}\]and \[{{x}^{2}}+{{(y-b)}^{2}}={{b}^{2}}\]is [MP PET 1989]

A. \[2\sqrt{{{a}^{2}}+{{b}^{2}}}\]
B. \[\frac{ab}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\]
C. \[\frac{2ab}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\]
D. None of these
Answer» C. \[\frac{2ab}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\]


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