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Origin is the centre of circle passing through the vertices of equilateral triangle which median is of length 3a then equation of circle is

Origin is the centre of circle passing through the vertices of equilateral triangle which median is of length 3a then equation of circle is

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1 Answers

Arun
25763 Points
2 years ago
 

Let r be the radius of the circle.

 

As median will pass through the centre of the circle, and median is divided in the ratio 2:1 at the centre (which would be the centroid).

 

So r = 2a.

 

Hence Eqn of Circle : x^2 + y^2 = (2a)^2.

 

Hope that helps.

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