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  • If a pair of linear equations is consistent, then the lines will be (A) parallel (B) always coincident (C) intersecting or coincident (D) always intersecting

If a pair of linear equations is consistent, then the lines will be
(A) parallel
(B) always coincident
(C) intersecting or coincident
(D) always intersecting

Answers (1)

best_answer

If the pair of linear equations is consistent then they have unique or infinitely many solutions.
In unique solution, \frac{a_{1}}{a_{2}}\neq \frac{b_{1}}{b_{2}}
Lines are intersecting
In infinitely many solution,
\frac{a_{1}}{a_{2}}= \frac{b_{1}}{b_{2}}= \frac{c_{1}}{c_{2}}
Lines are coincident
Hence the pair of lines are intersecting or coincident.

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infoexpert27

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