Question

A point P(-3,2) is the midpoint of a line segment AB.If coordinates of B are (5, -2),find the coordinates of A.

• A. 4
• B. (-11, -6)
• C. (11, 6)
• D. (11, -6)

Answer 1

The correct option is A 4

Given: point P(-3,2) is the midpoint of a line segment AB.

Let the coordinates of A be ($x_1,y_1$)

According to midpoint formula:

$\frac{x_1+5}{2}=-3$ and $\frac{x_2-2}{2}=2$

$\Rightarrow$ $x_1+5=-6$ and $x_2-2=4$

$\Rightarrow$ $x_1=-11$ and $x_2=6$

Therefore coordinates of A are (-11, 6)