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Question

If a pair of linear equations is consistent with a unique solution, then the lines representing them are _______.

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Solution

If a pair of linear equations is consistent, then two case arises:

Case 1: When the lines are coincident, they have infinitely many solutions.

Case 2: When the lines are intersecting, they have a unique solution.

Hence, if a pair of linear equations is consistent with a unique solution, then the lines representing them are intersecting.

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