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Consistency and Inconsistency of Linear Equations in Two Variables

If a pair of ...

Question

If a pair of lines do not intersect at a point, then find the number of solutions.

A

A unique solution

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B

Infinitely many solutions

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C

No Solution

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D

None of the above

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Solution

The correct option is C No Solution
If a pair of lines do not intersect at a point, then the lines are parallel and hence they do not intersect at any point.
So, there is no solution.

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