Question

Point R divides PQ in the ratio 2:3. If thr coordinates of P are (0,0) and that of R are (10,-8) then find the coordinates of Q.​

Answer 1

Given ,

• The point R divides the line segment PQ in the ratio 2 : 3

• The coordinate of P and R are (0,0) and (10,-8)

We know that , the coordinate of point A which divides the line segment B(x1 , y1) and C(x2 , y2) in the ratio m : n is given by

$\sf{\boxed{x = \frac{m x_{1} + n x_{2}}{m + n} \: \: \:and \: \: \: y = \frac{m y_{1} + n y_{2}}{m + n} }}$

Thus ,

10 = (0 + 3x)/5

50 = 3x

x = 50/3

And

-8 = (0 + 3y)/5

-40 = 3y

y = -40/3

Hence , the coordinate of Q is (50/3 , -40/3)