State the condition on the ratios ( a_1 a_2 ,

MATHEMATICS · Subjective · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

State the condition on the ratios

\dfrac{a_1}{a_2},\,\dfrac{b_1}{b_2}

and

\dfrac{c_1}{c_2}

for the pair of linear equations

a_1x + b_1y + c_1 = 0

and

a_2x + b_2y + c_2 = 0

to have infinitely many solutions.