Chapter E, Problem 13.4EX

To determine

To find the coordinates of $A$ .

Answer to Problem 13.4EX

Option (c)

Explanation of Solution

Given information: $AB=(3,4)$  and $B=(6,6)$

Concept used:

The midpoint of the points $(x_1,y_1)$ and $(x_2,y_2)$ is $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

The mid-point of the point is $AB=(3,4)$

  $\begin{array}{l}\left(\frac{6+x_2}{2},\frac{6+y_2}{2}\right)=(3,4)\\ \Rightarrow \frac{6+x_2}{2}=3;\frac{6+y_2}{2}=4\\ \Rightarrow x_2=0;y_2=2\end{array}$

Hence, the coordinates of $A=(0,2)$