MCQ
A system of two linear equations in two variables is inconsistent if their graphs :
  • Do not intersect at any point
  • B
    Coincide
  • C
    Cut the $x-$ axis
  • D
    Intersect only at a point

Answer

Correct option: A.
Do not intersect at any point
A system of two linear equations in two variables is inconsistent if their graphs do not intersect at any point.
In this case, a pair of lines represented by the system are parallel to each other.
so they do not intersect each other at any point.
The system is an inconsistent system of linear equations and the equations are independent.

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