Processing math: 38%
Home / Aptitude Tests / Mathematics / If the midpoint of t...

If the midpoint of the line PQ is (2,3) and the point P i...

If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.

A.

(8,6)

B.

(5,6)

C.

(0,4)

D.

(6,5)

Correct answer is D

Midpoint of a line PQ where P has coordinates (x1, y1) and Q has coordinates (x2, y2) is given as 

(x1+x22,y1+y22).

If Q has coordinates (r, s), then

\frac{-2 + r}{2} = 2 and \frac{1 + s}{2} = 3

-2 + r = 4 \implies r = 6

1 + s = 6 \implies s = 5

Q = (6, 5)