Three Dimensional Geometry Question 322
Question: Points (1, 1, 1), (-2, 4, 1), (-1, 5, 5) and (2, 2, 5) are the vertices of a
Options:
A) Rectangle
B) Square
C) Parallelogram
D) Trapezium
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Let $ A=(1,1,1);B=(-2,4,1):C=(-1,5,5) $ & $ D=(2,2,5) $ Then, $ AB=\sqrt{9+9+0}=3\sqrt{2},BC=\sqrt{1+1+16} $ $ =3\sqrt{2} $ and $ CD=3\sqrt{2} $ and $ AD=3\sqrt{2} $ . Since, all sides are equal. Hence it is a square.
BETA
