A) \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]
B) \[{{x}^{2}}+{{y}^{2}}={{b}^{2}}\]
C) \[{{x}^{2}}+{{y}^{2}}=\frac{{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]
D) \[{{x}^{2}}+{{y}^{2}}=1\]
E) \[{{x}^{2}}+{{y}^{2}}=\frac{2{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]
Correct Answer: E
Solution :
The equation of circle passing through the intersection of ellipse \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}=1\]and \[\frac{{{x}^{2}}}{{{b}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}}=1\] \[{{x}^{2}}+{{y}^{2}}=\frac{2{{a}^{2}}{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}}\]
You need to login to perform this action.
You will be redirected in
3 sec
