Coordinate Geometry Question 133
Question: If x $ \begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \\ \end{vmatrix} = \begin{vmatrix} a_1 & b_1 & 1 \\ a_2 & b_2 & 1 \\ a_3 & b_3 & 1 \\ \end{vmatrix} $ ., then the two triangle with vertices $ (x_1,y_1),(x_2,y_2), $
$ (x_3,y_3) $ and $ (a_1,b_1), $
$ (a_2,b_2), $
$ (a_3,b_3) $ must be
[IIT 1985]
Options:
A) Similar
B) Congruent
C) Never congruent
D) None of these
Show Answer
Answer:
Correct Answer: D
Solution:
By the given condition, we mean that the areas of both triangles are same. But it does not mean that the triangles are congruent.