Which of the following expressions gives the -coordinate of a point that divides the…

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

Problem

Which of the following expressions gives the

x

-coordinate of a point

P(x,y)

that divides the line segment joining

A(x_1,y_1)

and

B(x_2,y_2)

internally in the ratio

m:n

(i.e.,

AP:PB=m:n

)? (a)

\dfrac{mx_1+nx_2}{m+n}

(b)

\dfrac{mx_2+nx_1}{m-n}

(c)

\dfrac{mx_2+nx_1}{m+n}

(d)

\dfrac{mx_2-nx_1}{m+n}