The condition for a pair of equations a 1 x - b 1 y - c 1-0 and a 2 x - b 2 y - c 2-0 to be parallel isa1-a2-b1-b2-c1-c23- a1-a2-b1-b2-c1-c2C- a1-a2-b1-b2-c1-c2D- a1-a2-b1-b2

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Role of Coefficients and Constants

The condition...

Question

The condition for a pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is

≠ = .

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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 a pair of lines $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ .

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The condition for a pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0 to be parallel is

The correct option is B = ≠ . The condition for a pair of lines a1x+b1y+c1=0 and a2x+b2y+c2=0 to be parallel is a1a2=b1b2≠c1c2.

The condition for a pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is

The correct option is B
= ≠ .

The condition for a pair of lines $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ to be parallel is $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ .