Question

find the coordinates of the point Rwhich divides the line segment joining the point p(5,-2)and Q(9,6 )in the ratio 3 : 1 internally.​

Answer 1

Answer: Let P(x,y) divides the line joining of the points (5,-2) and (9,6) internally in the ratio 3:1 . By Section formula: Let Q(x,y) divides the line joining of the points (5,-2) and (9,6) externally in the ratio 3:1 .

Answer 2

Answer:

R(8,4)

Step-by-step explanation:

P(x1,y1) = (5,-2)    Q(x2,y2) = (9,6)

m1:m2 = 3:1

R(x,y) = (m1x2+m2x1/m1+m2 , m1y2+m2y1/m1+m2)

        = (3(9)+1(5)/4 , 3(6)+1(-2)/4)

         = (32/4 , 16/4)

        = (8,4)