Question

The middle point of the line segment joining $(3,1)$ and $(1,1)$ is shifted by two units ( in the sense increasing y) perpendicular to the line segment. Then the coordinates of the point in the new position is

• A. $2,3$
• B. $1,2$
• C. $2,2$
• D. none of these

Answer 1

The correct option is A $2,3$

Consider the given points.

$(3,1)$ and $(1,1)$

Mid-point of these points will be,

$(\frac{3+1}{2},\frac{1+1}{2})\Rightarrow (2,1)$

Now, this point is shifted in perpendicular y-direction (increasing y). Therefore, new coordinates of the middle point will be,

$\Rightarrow (2,1+2)=(2,3)$

Hence, this is the required answer.