Relative angle between two balls with equal mass after collision

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Phunee
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I´m working on a physics hand-in and found the relative angle between the two balls after collison(where one is stationary before the collison) to be exactly 90degrees, is this random or is it always so?
It´s worth mentioning that total momentum and kinetic energy is conserved.

The hand in is attached and the problem I´m referring to is problem 3
 

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