- 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 (x1, y1) and (x2, y2) is the ratio m : n is
Coordinates of
Coordinates of
Thus, the values of p and q are and 0 respectively.
Cheers!