If a 1 x - b 1 y - c 1-0- a 2 x - b 2 y - c 2-0 are two equations with infinite solutions- thena 1- a 2- b 1- b 2- c 1- c 2A- TrueB- False

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Comparing the ratios of coefficients of LE

If a 1 x + b ...

Question

If $a_{1} x + b_{1} y + c_{1} = 0, a_{2} x + b_{2} y + c_{2} = 0$ are two equations with infinite solutions , then
$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}$

True

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False

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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

Unique point is 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 __________ .

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

u = a_{1} x + b_{1} y + c_{1} = 0

v = a_{2} x + b_{2} y + c_{2} = 0

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

u + k v = 0

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

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

u + k v = 0

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