Parallel lines are obtained for the pair of equations a 1 x - b 1 y - c 1-0 and a 2 x - b 2 y - c 2-0 ifa1-a2-b1-b2-c1-c2a1-a2-b1-b2-c1-c2-C- a1-a2-b1-b2-c1-c2D- a1-a2-b1-b2

Byju's Answer

Standard VIII

Mathematics

Comparing the ratios of coefficients of LE

Parallel line...

Question

Parallel lines are obtained for the pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ if

≠ = .

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= ≠ .

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= = .

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≠

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Solution

The correct option is B
= ≠ .

The condition for obtaining parallel lines for the lines $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ is $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ .

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= ≠ .

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