Mathematics

Mathematics

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}

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