Assertion (A): The graph of a pair of linear equations is a pair of parallel lines if there is no solution. Reason (R): Parallel lines never intersect and hence are inconsistent.

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Assertion-ReasonInconsistent System of Linear Equations

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Assertion (A): The pair of equations 2x + 3y = 6 and 4x + 6y = 10 are consistent. Reason (R): They represent parallel lines.

Assertion-ReasonInconsistent System of Linear Equations

Assertion (A): If the graphical representation of a system of equations results in two parallel lines, the system is inconsistent. Reason (R): In an inconsistent system, there is no point common to both lines.

Assertion-ReasonInconsistent System of Linear Equations