For a system of Linear Equations to have infinite solutions , the ratio of the coefficients in standard form of ax + by + c= 0 must be

\frac{a 1}{a 2} = \frac{b 1}{b 2} \neq \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} \neq \frac{b 1}{b 2} \neq \frac{c 1}{c 2}

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\frac{a 1}{a 2} \neq \frac{b 1}{b 2} = \frac{c 1}{c 2}

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Solution

The correct option is B $\frac{a 1}{a 2} = \frac{b 1}{b 2} = \frac{c 1}{c 2}$
Coincidental lines have the same ratio of coefficients of x and y and coefficients of constant and have infinite number of solutions. Therefore the ratio of coefficients must be $\frac{a 1}{a 2} = \frac{b 1}{b 2} = \frac{c 1}{c 2}$ .

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For a system of Linear Equations to have infinite solutions , the ratio of the coefficients in standard form of ax + by + c= 0 must be

The correct option is B a1a2=b1b2=c1c2Coincidental lines have the same ratio of coefficients of x and y and coefficients of constant and have infinite number of solutions. Therefore the ratio of coefficients must be a1a2=b1b2=c1c2.