If a 1- a 2- b 1- b 2- c 1- c 2 for the system of equations a 1 x - b 1 y - c 1-0 and a 2 x - b 2 y - c 2-0A- Both A and B-B- none of theseC- These represent coincident linesD- The system of equations have infinite solutions

The correct option is A Both A and B. If a_1/a_2 = b_1/b_2 = c_1/c_2, the system of equations are consistent , coincident lines and have infinite solutions. ...

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Byju's Answer

Standard X

Mathematics

Comparing the ratios of coefficients of LE

If a 1/ a 2= ...

Question

If $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ for the system of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$

These represent coincident lines

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The system of equations have infinite solutions

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Both A and B.

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none of these

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Solution

The correct option is C
Both A and B.

If $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ , the system of equations are consistent , coincident lines and have infinite solutions.

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If a1a2=b1b2=c1c2 for the system of equations a1x+b1y+c1=0 and a2x+b2y+c2=0

The correct option is C Both A and B. If a1a2=b1b2=c1c2, the system of equations are consistent , coincident lines and have infinite solutions.

If $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ for the system of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$

The correct option is C
Both A and B.

If $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$ , the system of equations are consistent , coincident lines and have infinite solutions.