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A student divides AB in ratio 3 : 5 by construction. By mistake he marks only 7 equal points instead of 8 on ray AX and joins the last point to B.
The ratio he actually obtains when drawing the parallel through the 3rd point is:

Class 10Division of a Line SegmentGeometry
  • A3 : 5
  • B3 : 4
  • C3 : 7
  • D4 : 3

Step-by-Step Solution

With 7 points, the last is A7, so the parallel through A3 splits AB as 3 : (7-3) = 3 : 4, not the intended 3 : 5.
Answer: B) 3 : 4

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