Coordinate Geometry Question 34
Question: If points (5, 5), (10, k) and (-5, 1) are collinear, then k =
[MP PET 1994, 99; RPET 2003]
Options:
A) 3
B) 5
C) 7
D) 9
Show Answer
Answer:
Correct Answer: C
Solution:
According to the condition $ \begin{vmatrix} 5 & 5 & 1 \\ 10 & k & 1 \\ -5 & 1 & 1 \\ \end{vmatrix} =0 $
$ \Rightarrow $ $ \begin{vmatrix} 5 & 5 & 1 \\ 5 & k-5 & 0 \\ -10 & 1-5 & 0 \\ \end{vmatrix} =0\Rightarrow k=7 $ .
BETA
