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 (x_{1}, y_{1}) and Q (x_{2}, y_{2}).

Clearly, P divides the line segment AB internally in the ratio1:2.

∴ By internal division formula,

x_{1} =

y_{1} =

Again, Q divides the line segment AB internally in the ratio 2:1.

∴ By internal division formula,

x_{2} =

y_{2} =

∴ The required points are P and Q .

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