While dividing AB in ratio 5 : 2, a student joins the FIRST point A1 (instead of the last point A7) to B and draws a parallel through A5. Will the construction give the correct point dividing AB as 5 : 2?

Question

Accepted Answer

No, the last point A7 must be joined to B. The Basic Proportionality argument needs the farthest point A7 joined to B so that the parallel through A5 gives AP : PB = 5 : 2.

While dividing AB in ratio 5 : 2, a student joins the FIRST point A1 (instead of the last point A7) to B and draws a parallel through A5.
Will the construction give the correct point dividing AB as 5 : 2?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Division of a Line Segment practice

While dividing AB in ratio 5 : 2, a student joins the FIRST point A1 (instead of the last point A7) to B and draws a parallel through A5.Will the construction give the correct point dividing AB as 5 : 2?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Division of a Line Segment practice

While dividing AB in ratio 5 : 2, a student joins the FIRST point A1 (instead of the last point A7) to B and draws a parallel through A5.
Will the construction give the correct point dividing AB as 5 : 2?