Maximum deflection angle!

A mass MM collides elastically with a stationary mass mm. If (M<m)(M < m), then it is possible for MM to bounce directly backwards. However, if (M>m)(M > m), then there is a maximum angle of deflection of MM. Find the correct relation between θ,m,M\theta , m, M.

(θ\theta is the maximum angle of deflection.)

Question Source - Maximum deflection angle

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