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With what minimum speed should m be projected from point C in presence of two fixed masses M each at $A$ and $B$ as shown in the figure such that mass m should escape the gravitational attraction of A and B?
Point C is the $3^{r d}$ vertex of the large triangle.

$\sqrt{\frac{2 G M}{R}}$
$\sqrt{\frac{2 \sqrt{2} G M}{R}}$
$2 \sqrt{\frac{G M}{R}}$
$2 \sqrt{2} \sqrt{\frac{G M}{R}}$

A

2 \sqrt{2} \sqrt{\frac{G M}{R}}

B

\sqrt{\frac{2 G M}{R}}

C

\sqrt{\frac{2 \sqrt{2} G M}{R}}

D

2 \sqrt{\frac{G M}{R}}

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