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

Options

A. `(25sqrt3)/(256)a^(2)`
B. `(sqrt3)/(256)a^(2)`
C. `(25sqrt3)/(2)a^(2)`
D. None of these

Answer

A