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A line perpendicular to the line segment joining the points A (1,0) & B (2,3) divides it at C in the ratio of 1 : 3 . Then equation of the line is.? |
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Answer» The line joining the points A ->(1,0) and B->(2,3) is divided at C in the ratio 1:3. So the coordinates of C will be. ((1×3+2×1)/4,(0×3+3×1))/4) =(5/4,3/4) The slope of AB = (3-0)/(2-1)=3 The slope of the line perpendicular to AB will be -1/3 Hence the equation of the line passing through C and perpendicular to AB will be (y-3/4)-1/3(x-5/4) =>-12x+15=4y-3 =>12x+4y-18=0 |
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