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Medians of a Triangle and the Drawing Method

The equation ...

Question

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

A

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B

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C

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D

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Solution

The correct option is C
Radius = $\frac{2}{3} (h) = \frac{2}{3} (3 a) = 2 a \Rightarrow x^{2} + y^{2} = 4 a^{2}$

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