A) \[{{x}^{2}}+{{y}^{2}}=9{{a}^{2}}\]
B) \[{{x}^{2}}+{{y}^{2}}=16{{a}^{2}}\]
C) \[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\]
D) \[{{x}^{2}}+{{y}^{2}}={{d}^{2}}\]
Correct Answer: C
Solution :
In an equilateral triangle, the circumcentre of a circle lies on the centroid of the triangle. Here, radius of circles is 2a. \[\therefore \] Required equation of circle is \[{{x}^{2}}+{{y}^{2}}=4{{a}^{2}}\]You need to login to perform this action.
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