Coordinate Geometry Question 47
Question: If the points (-2,-5), (2,-2), (8,a) are collinear, then the value of a is
[MP PET 2002]
Options:
A) $ -\frac{5}{2} $
B) $ \frac{5}{2} $
C) $ \frac{3}{2} $
D) $ \frac{1}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
Let A be (- 2, - 5), B (2, -2) and C is (8, a), we know that, three points are collinear if slope of AB = slope of BC
$ \Rightarrow \frac{-2+5}{2+2}=\frac{a+2}{8-2}\Rightarrow a=\frac{5}{2} $ .
BETA
