JEE Main 2002 Mathematics question

Mathematics Solution of Triangles JEE Main 2002

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

(1)
(2)
(3)Correct
(4)

Answer: (3)

Solution

In an equilateral triangle the circumcentre coincides with the centroid, which divides each median in the ratio 2 : 1. So the circumradius (distance from the centre to a vertex) $=

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Question ID VK-038028