Question

find the coordinates of the point dividing internally the line segment joining a(3,7) and b(8,2) in the ratio 2:3.

Answer 1

Answer:

(5,5)

Step-by-step explanation:

A----------------P----------------B

P divides the line ab in ratio 2:3

(m1x2+m2x1/m1+m2,m1y2+m2y1/m1+m2)

(16+9/5,4+21/5) after solving

(5,5)

Answer 2

Answer:

Step-by-step explanation:

In given example

(X1,y1)=(3,7)

(x2,y2)=(8,2)

m:n=2:3

According to section formula

X=mx2+nx1÷m+n

= 2×8+3×3÷2+3

=25/5

= 5

Similarly

Y=my2+ny1÷m+n

= 2×2+3×7÷2+3

=4+21÷5

= 25÷5

= 5

Co-ordinates are (5,5)