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A particle projected atv a definite angl...

A particle projected atv a definite angle `prop` to the horizontal passes through points `(a,b) and (b,a)`, referred to horizontal and vertical axes through the points of projection. Show that :
(a) The horizontal range `R = (a^2 + ab + b^2)/(a + b)` .
(b) The angle of projection `prop` is given by
`tan^-1 [(a^2 + ab + b^2)/(ab)]`.

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