Class 11  >  MCQ: Straight Lines - Class 11

MCQ: Straight Lines - Class 11 - Notes - Class 11

The line x+y =4 divides the line joining the points (1,-1) and (5,7) in the ratio?
Ref: https://edurev.in/question/620103/The-line-xy-4-divides-the-line-joining-the-points-1-1-and-5-7-in-the-ratio-

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MCQ: Straight Lines - Class 11 - Notes - Class 11

The given points are (-1, 1) and (5,7).
Hence equation of the line joining the above points is


MCQ: Straight Lines - Class 11 - Notes - Class 11


The point of intersection of the lines (1) and (2) is
xy=2x−y=−2
x+y=4
2x=2
⇒x=1 and y=3

Let the point (1,3) divide the line segment joining (-1,1) and (5,7) in the ratio 1 : k
By applying the section formula,

MCQ: Straight Lines - Class 11 - Notes - Class 11

Hence the line joining the points (-1, 1) and (5,7) is divided by line
x+y= in the ratio 1 : 2
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