Show that in the case of an elastic collision between a particle of mass `m_(1)` with a particle of mass `m_(2)` initially at rest , (a) the maximum angle through which `m_(1)` can be deflected is given by `1 - cos^(2) theta_(m) = (m_(2)^(2))/(m_(1)^(2))` when `m_(1) gt m_(2)` (b) `theta_(1) + theta_(2) = (pi)/(2)` when `m_(1) = m_(2)`