A billiard table whose length and width are as shown in the figure. $A$ ball is placed at point $A$. At what angle ‘$\theta $ ’the ball be projected so that after colliding with two walls, the ball will fall in the pocket $B$ .Assume that all collisions are perfectly elastic (neglect friction)
A billiard table whose length and width are as shown in the figure. $A$ ball is placed at point $A$. At what angle ‘$\theta $ ’the ball be projected so that after colliding with two walls, the ball will fall in the pocket $B$ .Assume that all collisions are perfectly elastic (neglect friction)
- A
$\theta = cot^{-1}\, \frac{{2a - c}}{{2b}}$
- B
$\theta = cot^{-1}$$\frac{{2a - c}}{{2b}}$
- C
$\theta = tan^{-1}$$\frac{{c - a}}{{2b}}$
- D
$\theta = cot^{-1}$$\frac{{c - a}}{b}$
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