Q. 94.0( 8 Votes )
Find the points of trisection of the line joining the points (11, 9) and (1, 2).
Answer :
Let the line segment joining the points A (1, 2) and B (11, 9) be trisected at points P (x1, y1) and Q (x2, y2).
Clearly, P divides the line segment AB internally in the ratio1:2.
∴ By internal division formula,
x1 = 
y1 = 
Again, Q divides the line segment AB internally in the ratio 2:1.
∴ By internal division formula,
x2 = 
y2 = 
∴ The required points are P
and Q 
.
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