Which of the following gives the coordinates of a point that divides the line segment…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Which of the following gives the coordinates of a point that divides the line segment joining

A(x_1,y_1)

and

B(x_2,y_2)

internally in the ratio

m:n

? (a)

\left(\dfrac{mx_1+nx_2}{m+n},\;\dfrac{my_1+ny_2}{m+n}\right)

(b)

\left(\dfrac{mx_2-nx_1}{m-n},\;\dfrac{my_2-ny_1}{m-n}\right)

(c)

\left(\dfrac{mx_2+nx_1}{m+n},\;\dfrac{my_2+ny_1}{m+n}\right)

(d)

\left(\dfrac{x_1+x_2}{2},\;\dfrac{y_1+y_2}{2}\right)