Choose the correct option.

STATEMENT - 1: If the graphs of the two equations are parallel lines, there exists no solution.

STATEMENT - 2: The system is called an inconsistent system.

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Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1

Statement - 1 is True, Statement - 2 is True,Statement 2 is NOT a correct explanation for Statement - 1

Statement - 1 is True, Statement - 2 is False

Statement - 1 is False, Statement - 2 is True

answer is B.

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Detailed Solution

It is given the statements are,
STATEMENT - 1: If the graphs of the two equations are parallel lines, there exists no solution.
STATEMENT - 2: The system is called an inconsistent system.
If the graphs of the two equations are parallel lines, then there will be no solution, and the system is called an inconsistent system because the two lines will never intersect each other.
So the correct option is 2.

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