If a pair of equations is consistent, then the lines representing… - Vidyadip

MCQ

If a pair of equations is consistent, then the lines representing them are

A
parallel
B
always coincident
✓
intersecting or coincident
D
always intersecting

✓

Answer

Correct option: C.

intersecting or coincident

(C) intersecting or coincident
If a pair of equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ is consistent then either it has unique solution on inifinitely many solutions. Consequently, lines representing the two equations either intesect or coincide.

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