Choose the correct answer from the given four options: If a pair … - Vidyadip

MCQ

Choose the correct answer from the given four options:
If a pair of linear equations is consistent, then the lines will be:

A
Parallel.
B
Always coincident.
✓
Intersecting or coincident.
D
Always intersecting.

✓

Answer

Correct option: C.

Intersecting or coincident.

Condition for a consistent pair of linear equations.
$\frac{\text{a}_1}{\text{a}_1}\neq\frac{\text{b}_1}{\text{b}_2}$ [intersecting lines having unique solution]
and $\frac{\text{a}_1}{\text{a}_2}=\frac{\text{b}_1}{\text{b}_2}=\frac{\text{c}_1}{\text{c}_2}$ [coincident or dependent]

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