IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry

computer001

simple enuf:

the given eqn represents 3 lines passing thru origin

$y={m}_{1}x,y={m}_{2}x,y={m}_{3}x$

devide eqn by ${x}^{3}$

rewrit as:

$a+bm+c{m}^{2}+d{m}^{3}$

where roots are ${m}_{1},{m}_{2},{m}_{3}$

$\sum{m}_{i}=-c/d$

$\sum{m}_{i}{m}_{j}=b/d$

${m}_{1}{m}_{2}{m}_{3}=-a/d$

u no relation between ${m}_{1},{m}_{2}$ ...(given condition)

solve and eliminate ${m}_{3}$ also...