If | * 20 c x_1 & y_1 &1 x_2 & y_2 &1 x_3 & y_3 &1 | = | * 20 c a… - Vidyadip

MCQ

If $\left| {\begin{array}{*{20}{c}}{{x_1}}&{{y_1}}&1\\{{x_2}}&{{y_2}}&1\\{{x_3}}&{{y_3}}&1\end{array}} \right| = \left| {\begin{array}{*{20}{c}}{{a_1}}&{{b_1}}&1\\{{a_2}}&{{b_2}}&1\\{{a_3}}&{{b_3}}&1\end{array}} \right|$, 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

A
Similar
✓
None of these
C
Never congruent
D
Congruent

✓

Answer

Correct option: B.

None of these

b
(b) By the given condition, we mean that the areas of both triangles are same. But it does not mean that the triangles are congruent.

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