Question

M is the midpoint of $\overline{AB}$. The coordinates of A are $(-2,3)$ and the coordinates of M are $(1,0)$. Find the coordinates of B.

• A. $(-1/2,3/2)$
• B. $(4,-3)$
• C. $(-4,3)$
• D. $(-5,6)$
• E. none of these

Answer 1

Answer: (B)

$(4,-3)$

Let $(x,y)$ be the coordinates of B.
According to question, M is mid point of A and B.
$\Rightarrow \frac{-2+x}{2}=1\Rightarrow x=4$
and $\frac{3+y}{2}=0\Rightarrow y=-3$
Therefore B is $(4,-3)$
Option B is correct.