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Sahay Sir > Question Answers > Uncategorised (JEE Advanced Physics by BM Sharma + GMP Solutions) > 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)].

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)].

A particle is projected over a triangle from one extremity of its horizontal base. Grazing over the vertex A particle projected at a definite angle prop to the horizontal passes through points (a A) b) and (b it falls on the other extremity of the base. If a and b are the base angles of the triangle and θ the angle of projection prove that tanθ=tanα+tanβ