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 $a_1x + b_1y + c_1 = 0, a_2x + b_2y + c_2 = 0$ 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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