Condition satisfied by the pair of equation $2 x + 3 y = - 5$ and $4 x + 6 y - 10 = 0$ is

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

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

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

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

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Solution

The correct option is C
$\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$ ≠ $\frac{c_{1}}{c_{2}}$

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

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

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Condition satisfied by the pair of equation $2 x + 3 y = - 5$ and $4 x + 6 y - 10 = 0$ is

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