Coordinate Geometry Question 81
Question: If the three vertices of a rectangle taken in order are the points (2, -2), (8, 4) and (5, 7). The coordinates of the fourth vertex is
[CEE 1993]
Options:
A) (1, 1)
B) (1, -1)
C) (-1, 1)
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Let fourth vertex be (x, y), then $ \frac{x+8}{2}=\frac{2+5}{2} $ and $ \frac{y+4}{2}=\frac{-2+7}{2}\Rightarrow x=-1,y=1 $ .
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