Three Dimensional Geometry Question 315

Question: Points ( -2, 4, 7), (3, -6, -8) and (1, -2, -2) are

Options:

A) Collinear

B) Vertices of an equilateral triangle

C) Vertices of an isosceles triangle

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Here, $ \frac{( 3-( -2 ) )}{1-3}=\frac{-6-4}{-2-(-6)}=\frac{-8-7}{-2-(-8)} $
$ \Rightarrow -\frac{5}{2}=-\frac{5}{2}=-\frac{5}{2} $ . Obviously, points are collinear.