A variable line passing through a fixed point P cuts the given curve y2 = 4ax at Q and R. Now a variable point S is chosen on this line in such a way that PQ, PS and PR are in H.P. Prove that the locus of S is a straight line whose slope is independent of the abscissa of the point P.
A variable line passing through a fixed point P cuts the given curve y2 = 4ax at Q and R. Now a variable point S is chosen on this line in such a way that PQ, PS and PR are in H.P. Prove that the locus of S is a straight line whose slope is independent of the abscissa of the point P.
suraj sain , 7 Years ago
Grade 12
