If the coordinates of four concyclie points on the rectangular hyperbola \[xy={{c}^{2}}\] are \[(c{{t}_{i}},\,\,c/{{t}_{i}}),i=1,\,\,2,\,\,3,\,\,4\] then

\[{{t}_{1}}{{t}_{3}}={{t}_{2}}{{t}_{4}}\]

\[{{t}_{1}}{{t}_{2}}{{t}_{3}}{{t}_{4}}=-1\]

\[{{t}_{1}}{{t}_{2}}{{t}_{3}}{{t}_{4}}=1\]

\[{{t}_{1}}+{{t}_{2}}+{{t}_{3}}+{{t}_{4}}={{c}^{2}}\]

If the coordinates of four concyclie points on the rectangular hyperbo

1.	If the coordinates of four concyclie points on the rectangular hyperbola \[xy={{c}^{2}}\] are \[(c{{t}_{i}},\,\,c/{{t}_{i}}),i=1,\,\,2,\,\,3,\,\,4\] then
A.	\[{{t}_{1}}{{t}_{2}}{{t}_{3}}{{t}_{4}}=-1\]
B.	\[{{t}_{1}}{{t}_{2}}{{t}_{3}}{{t}_{4}}=1\]
C.	\[{{t}_{1}}{{t}_{3}}={{t}_{2}}{{t}_{4}}\]
D.	\[{{t}_{1}}+{{t}_{2}}+{{t}_{3}}+{{t}_{4}}={{c}^{2}}\]
Answer» C. \[{{t}_{1}}{{t}_{3}}={{t}_{2}}{{t}_{4}}\]

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If the coordinates of four concyclie points on the rectangular hyperbola \[xy={{c}^{2}}\] are \[(c{{t}_{i}},\,\,c/{{t}_{i}}),i=1,\,\,2,\,\,3,\,\,4\] then

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