Question

If a pair of linear equation has infinitely many solutions then the lines representing them will be
1. Parallel
2. Always intersecting
3. Intersecting or coincident
4. always coincident

Answer 1

Step-by-step explanation:

the answer is

3) intersecting or coincident

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Answer 2

If a pair of linear equations has infinitely many solutions then the lines representing them will be 4. always coincident.

Explanation for the answer:

• If two lines have infinitely many solutions it means that the lines are overlapping each other i.e. they are coincident lines.
• It represents that all the points in the graph are common and also have infinitely many solutions.
• Hence, the correct answer among all the options is option 4. always coincident.

Explanation for the incorrect options:

• If two lines are intersecting each other and also they have a unique solution so, the pair of linear equations is consistent.
• If two lines do not intersect with each other, they are parallel lines.

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