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Three ants are sitting on the vertices o...

Three ants are sitting on the vertices of an equilateral triangle of side of a... At t= 0, ant 1 starts approaching ant 2 with a speed v, ant 2 starts approaching ant 3. with a speed v and ant 3 start approaching ant 1 with a speed v. The three ant meet at the centroid of the triangle at t = 2a/3v.
Q The area of the equilateral triangle formed by the three ants at any time t = a/4v will be

A

`(25sqrt3)/(256)a^(2)`

B

`(sqrt3)/(256)a^(2)`

C

`(25sqrt3)/(2)a^(2)`

D

None of these

Text Solution

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The correct Answer is:
A
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