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.