MCQ
If a pair linear equations is inconsistent then their graph lines will be:
  • Parallel.
  • B
    Always coincident.
  • C
    Always intersecting.
  • D
    Intersecting or coincident.

Answer

Correct option: A.
Parallel.
A system of equations $a_1x + b_1y + c_1 = 0, a_2x + b_2y + c_2 = 0$ is said to be inconsistent if it has no solution.
If a pair of linear equation are parallel,
It has no solutions.
If a pair of linear equation are coincident,
If has infinite number of solutions.
If a pair of linear equations are intersecting,
It has a unique solution.
So, the pair of linear will be parallel.

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