The condition for a 1 x - b 1 y - c 1-0 and a 2 x - b 2 y - c 2-0 to be consistent and have a unique solution isA- a1-a2-b1-b2-c1-C2B- a 1- a 9- b 1- b 2C- a1-a2-b12-h0- c1-f1D- a1-a2-b2-b1-c2-c2

The correct option is B a_1/a_2 nbsp;≠ nbsp; b_1/b_2 For the given lines nbsp; a_1x + b_1y + c_1 = 0 nbsp; and a_2x + b_2y + c_2 = 0 a_1/a_2≠b_1/b_2 i ...

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Byju's Answer

Standard VIII

Mathematics

Comparing the ratios of coefficients of LE

The condition...

Question

The condition for $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be consistent and have a unique solution is

$\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ = $\frac{c_{1}}{c_{2}}$

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$\frac{a_{1}}{a_{2}}$ ≠ $\frac{b_{1}}{b_{2}}$

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$\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ ≠ $\frac{c_{1}}{c_{2}}$

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$\frac{a_{1}}{a_{2}}$ = $\frac{b_{2}}{b_{1}}$ = $\frac{c_{1}}{c_{2}}$

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Solution

The correct option is B
$\frac{a_{1}}{a_{2}}$ ≠ $\frac{b_{1}}{b_{2}}$

For the given lines $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$

$\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ is the condition for 2 equations to be consistent and have an unique solution.

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The condition for a1x+b1y+c1=0 and a2x+b2y+c2=0 to be consistent and have a unique solution is

The correct option is B a1a2 ≠​ b1b2 For the given lines a1x+b1y+c1=0 and a2x+b2y+c2=0 a1a2≠b1b2 is the condition for 2 equations to be consistent and have an unique solution.

The condition for $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be consistent and have a unique solution is

The correct option is B
$\frac{a_{1}}{a_{2}}$ ≠ $\frac{b_{1}}{b_{2}}$

For the given lines $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$

$\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$ is the condition for 2 equations to be consistent and have an unique solution.