Coordinate Geometry Question 148
Question: If the area of the triangle with vertices $ (x,0),(1,1) $ and $ (0,2) $ is 4 square units then a value of x is
[Karnataka CET 2004]
Options:
A) - 2
B) - 4
C) - 6
D) 8
Show Answer
Answer:
Correct Answer: A
Solution:
Given, area of triangle = 4
$ \therefore $ $ \begin{vmatrix} x & 0 & 1 \\ 1 & 1 & 1 \\ 0 & 2 & 1 \\ \end{vmatrix} =4 $
$ \Rightarrow $ $ x=-2 $ .