If complex numbers \[{{z}_{1}},{{z}_{2}}\,\text{and }{{z}_{3}}\] represent the vertices A, B and C respectively of an isosceles triangle ABC of which \[\angle C\] is right angle, then correct statement is [RPET 1999]

\[{{z}_{1}}^{2}+{{z}_{2}}^{2}+{{z}_{3}}^{2}={{z}_{1}}{{z}_{2}}{{z}_{3}}\]

\[{{({{z}_{3}}-{{z}_{1}})}^{2}}={{z}_{3}}-{{z}_{2}}\]

\[{{({{z}_{1}}-{{z}_{2}})}^{2}}=({{z}_{1}}-{{z}_{3}})\,({{z}_{3}}-{{z}_{2}})\]

\[{{({{z}_{1}}-{{z}_{2}})}^{2}}=2({{z}_{1}}-{{z}_{3}})\,({{z}_{3}}-{{z}_{2}})\]

If complex numbers \[{{z}_{1}},{{z}_{2}}\,\text{and }{{z}_{3}}\] repre

1.	If complex numbers \[{{z}_{1}},{{z}_{2}}\,\text{and }{{z}_{3}}\] represent the vertices A, B and C respectively of an isosceles triangle ABC of which \[\angle C\] is right angle, then correct statement is [RPET 1999]
A.	\[{{z}_{1}}^{2}+{{z}_{2}}^{2}+{{z}_{3}}^{2}={{z}_{1}}{{z}_{2}}{{z}_{3}}\]
B.	\[{{({{z}_{3}}-{{z}_{1}})}^{2}}={{z}_{3}}-{{z}_{2}}\]
C.	\[{{({{z}_{1}}-{{z}_{2}})}^{2}}=({{z}_{1}}-{{z}_{3}})\,({{z}_{3}}-{{z}_{2}})\]
D.	\[{{({{z}_{1}}-{{z}_{2}})}^{2}}=2({{z}_{1}}-{{z}_{3}})\,({{z}_{3}}-{{z}_{2}})\]
Answer» E.

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If complex numbers \[{{z}_{1}},{{z}_{2}}\,\text{and }{{z}_{3}}\] represent the vertices A, B and C respectively of an isosceles triangle ABC of which \[\angle C\] is right angle, then correct statement is [RPET 1999]

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