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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)

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.

Posted by

infoexpert27

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