Question

The mid-point of segment AB is the point P(0,4). If the coordinates of B are (-2,3), then the coordinates of A are

• A. $(2,5)$
• B. $(-2,-5)$
• C. $(2,9)$
• D. $(-2,11)$

Answer 1

The correct option is A $(2,5)$

Let the coordinates of $A$ are $(x,y)$

$P(0,4)$ is the mid point of $AB$

$\Rightarrow \frac{x+(-2)}{2}=0,\frac{y+3}{2}=4\Rightarrow x-2=0,y+3=8x=2,y=5$

So the coordiantes of $P$ are $(2,5)$