MCQ
If a pair of linear equations is consistent, then their graph lines will be :
- AParallel.
- BAlways coincident.
- CAlways intersecting.
- ✓Intersecting or coincident.
✓
Answer
Correct option: D.
Intersecting or coincident.
A system of equations $a_1 x+b_1 y+c_1=0$ and $a_2 x+b_2 y+c_2=0$ is said to be consistent if it has at least one solution.
If a pair of linear equations are parallel,
It has no solutions.
If a pair of linear equations are coincident,
It has infinite number of solutions.
If a pair of linear equation are intersecting,
It has a unique solution.
So, the pair of linear can be intersecting or coincident.
If a pair of linear equations are parallel,
It has no solutions.
If a pair of linear equations are coincident,
It has infinite number of solutions.
If a pair of linear equation are intersecting,
It has a unique solution.
So, the pair of linear can be intersecting or coincident.
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