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Is it true that if a pair of linear equations is inconsistent, then the lines will intersect?

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a

True

b

False

answer is B.

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Detailed Solution

Given statement is that if a pair of linear equations is inconsistent, then the lines will intersect.
The pair of linear equations is said to be consistent when they meet each other at a unique point, which means that they are intersecting lines.
The pair of linear equations is also consistent when they have infinite solutions, which means they are coinciding lines.
So, the given statement is false.
The correct statement is, if a pair of linear equations is inconsistent, then the lines will never intersect.
Hence, the correct option is 2.

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