1.

If a circle cuts a rectangular hyperbola \[xy={{c}^{2}}\] in A, B, C, D and the parameters of these four points be \[{{t}_{1}},\ {{t}_{2}},\ {{t}_{3}}\] and \[{{t}_{4}}\] respectively. Then [Kurukshetra CEE 1998]

A.            \[{{t}_{1}}{{t}_{2}}={{t}_{3}}{{t}_{4}}\]                                        
B.            \[{{t}_{1}}{{t}_{2}}{{t}_{3}}{{t}_{4}}=1\]
C.            \[{{t}_{1}}={{t}_{2}}\]               
D.            \[{{t}_{3}}={{t}_{4}}\]
Answer» C.            \[{{t}_{1}}={{t}_{2}}\]               


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