Question

ASSERTION: if a pair of lines are connected, then we say that pair of lines are consistent and it has unique solution. REASON: if the pair of lines are parallel, the pair has no solution and is called inconsistent pair of equations​

Answer 1

Assertion is False and Reason is True.

When we say that a pair of lines is connected, we mean that they are coincident. Therefore, they have infinite number of solutions and is consistent in nature. This means that the assertion is false.

When a pair of lines is parallel to one another, then the pair has no solution and is inconsistent in nature. So, the reason is true.

Knowledge Bytes

- If a pair of lines touches each other at some point, then it would be consistent. Examples include that of coincident and intersecting lines.

- An intersecting pair of lines has a unique solution. A coincident pair of lines has infinite number of solutions. A pair of parallel lines has no solutions.

Answer 2

Answer:

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