A particle projected atv a definite angle `prop` to the horizontal passes through points `(a,b) and
Channel: Doubtnut
Date: 2020-07-26

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)]`.