If x\[\left| \begin{matrix} {{x}_{1}} & {{y}_{1}} & 1 \\ {{x}_{2}} & {{y}_{2}} & 1 \\ {{x}_{3}} & {{y}_{3}} & 1 \\ \end{matrix} \right|=\left| \begin{matrix} {{a}_{1}} & {{b}_{1}} & 1 \\ {{a}_{2}} & {{b}_{2}} & 1 \\ {{a}_{3}} & {{b}_{3}} & 1 \\ \end{matrix} \right|\]., 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 [IIT 1985]

If x\[\left| \begin{matrix} {{x}_{1}} & {{y}_{1}} & 1 \\ {

1.	If x\[\left\| \begin{matrix} {{x}_{1}} & {{y}_{1}} & 1 \\ {{x}_{2}} & {{y}_{2}} & 1 \\ {{x}_{3}} & {{y}_{3}} & 1 \\ \end{matrix} \right\|=\left\| \begin{matrix} {{a}_{1}} & {{b}_{1}} & 1 \\ {{a}_{2}} & {{b}_{2}} & 1 \\ {{a}_{3}} & {{b}_{3}} & 1 \\ \end{matrix} \right\|\]., 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 [IIT 1985]
A.	Similar
B.	Congruent
C.	Never congruent
D.	None of these
Answer» E.

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