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Circular Measurement of Angle

The equation ...

Question

The equation of the circle with origin as centre passing 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 D

Centre (0, 0), radius = $3 a \times \frac{2}{3} = 2 a$ .

Hence circle $x^{2} + y^{2} = 4 a^{2}$ as centroid divides median in the ratio of 2:1.

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