The system of linear equations a_1 x+b_1 y+c_1=0 and a_2 x+b_2 y+… - Vidyadip

MCQ

The system of linear equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ has a unique solution if :

A
$\frac{\text{a}_{1}}{\text{a}_{2}}=\frac{\text{b}_{1}}{\text{b}_{2}}=\frac{\text{c}_{1}}{\text{c}_{2}}$
B
$\frac{\text{a}_{1}}{\text{a}_{2}}=\frac{\text{b}_{1}}{\text{b}_{2}}\neq\frac{\text{c}_{1}}{\text{c}_{2}}$
✓
$\frac{\text{a}_{1}}{\text{a}_{2}}\neq\frac{\text{b}_{1}}{\text{b}_{2}}$
D
None of these

✓

Answer

Correct option: C.

$\frac{\text{a}_{1}}{\text{a}_{2}}\neq\frac{\text{b}_{1}}{\text{b}_{2}}$

The systeam of linear equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ has a unique solution if $\frac{\text{a}_{1}}{\text{a}_{2}}\neq\frac{\text{b}_{1}}{\text{b}_{2}}$

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