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- the line segment joining the points (3,-4)and (1,2)is trisected at the points Pand Q. if the coordinates of Pand Q are (p,-2) and (5/3,q) respectively, find the values of p and q .

Dear Student!

Let the given point be A(3, – 4) and B(1, 2).

Given, P and Q trisects AB.

∴ AP = PQ = QB

Now, AP + PQ + QB = AB

∴ AP + AP + AP = AB

⇒ 3AP = AB

∴ P divides AB in the ratio 1 : 2

Similarly, Q divides AB in the ratio 2 : 1

**Coordinates of the point dividing the line segment joining (****x**_{1}**, ****y**_{1}**) and (****x**_{2}**, ****y**_{2}**) is the ratio m : n is **

Coordinates of

Coordinates of

Thus, the values of *p* and *q *are and 0 respectively.

Cheers!

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