A system of two linear equations in two variables have no solutio… - Vidyadip

MCQ

A system of two linear equations in two variables have no solution if their graphs :

A
Cut the $x-$ axis
B
Intersect only at a point
C
Coincide
✓
Do not intersect at any point

✓

Answer

Correct option: D.

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 at any point means they are parallel to each other then there are no solutions that are true for both equations.

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