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Questions  

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3 a is

a
x2+y2=9a2
b
x2+y2=16a2
c
x2+y2=4a2
d
x2+y2=a2

detailed solution

Correct option is C

It is given that the triangle is equilateral. Therefore, centroid of the triangle is same as the circumcircle.Also, Radius of the circumcircle =23 (median) =23(3a)=2aHence, the equation of the circumcircle whose centre is at(0, 0) and radius 2a, is x2+y2=(2a)2

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