Mathematics

Mathematics

Problem

Let AA be the point of intersection of the lines 3x+2y=143x + 2y = 14, 5x−y=65x - y = 6 and BB be the point of intersection of the lines 4x+3y=84x + 3y = 8, 6x+y=56x + y = 5. The distance of the point P(5,−2)P(5, -2) from the line ABAB is (a) 8 (b) 52\frac{5}{2} (c) 132\frac{13}{2} (d) 6

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