Question

State the condition so that the pair of linear equation a1x+b1y+c1=0 and a2x+b2y + c2 =0 have no solution, unique solution or infinite solution?

Answer 1

Step-by-step explanation:

hope it will help you bro

Answer 2

Answer:

No solution if  $\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

Unique solution if $\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$

No solution if  $\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$

Step-by-step explanation:

The condition that the pair of linear equations  $a_1x+b_1y+c_1=0$  $a_2x+b_2y + c_2 =0$ has no solution is

$\frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2}$

The condition that the pair of linear equations  $a_1x+b_1y+c_1=0$  $a_2x+b_2y + c_2 =0$ has a unique solution is

$\frac{a_1}{a_2} \neq \frac{b_1}{b_2}$

The condition that the pair of linear equations  $a_1x+b_1y+c_1=0$,  $a_2x+b_2y + c_2 =0$ have infinite solutions is

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$