Question

Find the coordinates of the points of trisection of the line segment joining the points A(1,-2)and B(-3,4).
(class 10 CBSE SAMPLE PAPER 2017-18 MATHS)

Answer 1

Trisection means a line is dividing into 3 equal parts.


This can be done by finding two points P and Q on the line segment AB. Such that AP=PQ=QB.


Let AP= PQ= QB=x


Then, AP= x & PB= PQ+QB= x+x=2x


AP:PB= x:2x= 1:2


AQ= AP+PQ= x+x=2x & QB= x


AQ:QB= 2x:x= 2:1


Hence, to find points of trisection we find two points P and Q such that P divides AB

in the ratio 1 : 2 and Q divides AB  in the ratio 2:1.


SOLUTION IS IN THE ATTACHMENT



Hope this will help you...