A particle projected at a definite angle alpha 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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