Question

Coordinates of P and Q are (4, -3) and (-1, 7). The abscissa of a point R on the line segment PQ such that $\frac{PR}{PQ}=\frac{3}{5}$ is:

• A. $\frac{17}{5}$
• B. $\frac{18}{5}$
• C. 1
• D. $\frac{17}{8}$

Answer 1

The correct option is C 1

Given:

$\Rightarrow$$P(4,-3)\equiv (x_1,y_1)$ and $Q(-1,7)\equiv (x_2,y_2)$

$\Rightarrow$$PR:RQ=3:2$

$\Rightarrow$$x=\frac{m{x}_1+n{x}_2}{m+n}$

$Abscissa=\frac{4\times 2+(-1)\times 3}{3+2}=1$