Answer :

Let given points be A(3, -4) and B(1, 2) , which is trisected at points P(p, -2) and Q(5/3, q).

By section formula,

x = , y =
As point P divides the line in 1:2 and Q divides the line in 2:1.

For point P(p, -2)of AB, where m = 1 and n = 2,

p= ,
-2 =

Solving for p,

P =

For point Q(5/3, q) of AB, where m = 2 and n = 1,

= ,
q =

Solving for q,

q =

∴q = 0
Hence, the value of p and q are and 0 respectively.

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