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 $ .