A system of simultaneous linear equations has infinitely many solutions if two lines:

are coincident

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intersect at one point

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intersect at two points

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are parallel

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Solution

The correct option is A
are coincident

A system of simultaneous linear equations has infinitely many solutions if two lines are coincident.

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Similar questions

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

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

8 y = x - 10; 2 x = 3 y + 7

⎡ ⎢ ⎣ \begin{matrix} 2 & 1 & - 4 4 & 3 & - 12 1 & 2 & - 8 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x y z \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} a 57 \end{matrix} ⎤ ⎥ ⎦

a

⎧ ⎨ ⎩ \begin{matrix} 3 x - 9 y = - 6 \frac{1}{2} x - \frac{3}{2} y = c \end{matrix}

c

α

⎡ ⎢ ⎣ \begin{matrix} 1 & α & α^{2} α & 1 & α α^{2} & α & 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x y z \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1 - 1 1 \end{matrix} ⎤ ⎥ ⎦

1 + α + α^{2} =

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