Question

Find the points which divide the line segment joining $A(-4,0)$ and $B(0,6)$ into two equal parts.

• A. $(-2,3)$
• B. $(-3,\frac{3}{2})$
• C. $(-3,\frac{-3}{2})$
• D. None of these

Answer 1

The correct option is A $(-2,3)$

Given $A(-4,0)$ and $B(0,6)$. Let $P(x,y)$ divide $AB$ into two equal parts.

By mid-point theorem:

$X=\left(\frac{x_1+x_2}{2}\right)andY=\left(\frac{y_1+y_2}{2}\right)$

$x=\frac{-4+0}{2}=-2$ and $y=\frac{0+6}{2}=3$.

so, $P(x,y)=(-2,3)$ is require point.