question_answer

Find the fourth vertex of the parallelogram if three of its vertices are given as A (10, - 2), B (8, 6) and C (6, 10).

A)  (0, 1)                           

B)  (- 2, 5)             

C)  (4, 18)                         

D)  (8, 2)

Correct Answer: D

Solution :

(d): Coordinates of point 'O' can be obtained as follows: \[\frac{x+8}{2}=\frac{10+6}{2}\];                    \[\Rightarrow \]\[x=8\] \[\therefore \]\[\frac{y+6}{2}=\frac{10-2}{2}\]     \[\Rightarrow \] \[y=2\]