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i) Find the slope of the line x/a+y/b=1 ii)If the line joining the points (0,0),(1,1),and (2,2),(4,y) are perpendicular.Find y. |
i) x/a + y/b = 1 implies bx + ay = ab ie, y = -b/a x + b, which is of the form y = mx + c Here m = -b/a ii) If the lines are perpendicular, m1 m2 = -1 m1 = 1/1 = 1 m2 = (y-2) /2 m1 m2 = -1 implies (y-2) /2 * 1 = - 1 ie, y-2 = -2 Hence y = 0 |