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Question

Show that the line joining (2, -5) and (-2, 5) is perpendicular to the line joining (6,3) and (1, 1).


Solution

Slope of line joining (2,-5) and (-2, 5) ism1=y2y1x2x1=5(5)22=52Slope of line joining (6, 3) and (1, 1)m2=y2y1x2x1=1316=25m1×m2=52×25=1 The two lines are perpendicular to each other

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