Question

If $\left(1,0\right)$ is the midpoint of the line joining the points A $\left(-6,-5\right)$ and B, then the coordinates of B are

• A. $\left(8,3\right)$
• B. $\left(8,5\right)$
• C. $\left(5,3\right)$
• D. $\left(-8,-5\right)$

Answer 1

The correct option is B $\left(8,5\right)$

Taking coordinate of B as $\left(x,y\right)$.

Now, applying mid point formula to points A and B we get
$\left(\frac{-6+x}{2},\frac{-5+y}{2}\right)=\left(1,0\right)\Rightarrow \frac{-6+x}{2}=1;\frac{-5+y}{2}=0onsolvingweget,\Rightarrow x=8;y=5$
so, the coordinates of B will be $\left(8,5\right)$