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Q.

If the pair of linear equations $a_{1} x + b_{1} y + c_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0$ has an unique solution, then

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a

\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}

b

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

c

\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

d

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

answer is D.

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Detailed Solution

a_{1} x + b_{1} y + c_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0

has an unique solution, then

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

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