• question_answer If ${{x}_{1}},{{x}_{2}},{{x}_{3}},\,\,\text{and }\,{{y}_{1}},{{y}_{2}},{{y}_{3}}$ are both in G.P. with the same common ratio, then the points $({{x}_{1}},{{y}_{1}}),$ $({{x}_{2}},\,{{y}_{2}})$ and $({{x}_{3}},\,{{y}_{3}})$[AIEEE 2003] A)            Lie on a straight line                  B)            Lie on an ellipse C)            Lie on a circle                             D)            Are vertices of a triangle

Taking co-ordinates as $\left( \frac{x}{r},\,\frac{y}{r} \right)$; $(x,\,y)\,\text{and}\,(xr,\,yr)$                    Above co-ordinates satisfy the relation $y=mx$, so lie on a straight line.