Consider the pair of linear equations and

MATHEMATICS · Single correct · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Consider the pair of linear equations 3x−2y+6=03x - 2y + 6 = 0 and 6x−4y+12=06x - 4y + 12 = 0. When these are drawn on the same Cartesian plane, which of the following describes their relationship? (a) The lines intersect at exactly one point. (b) The lines are parallel, giving no solution. (c) The lines coincide, giving infinitely many solutions. (d) The lines are perpendicular to each other.

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