If a = {\sqrt{87} + \sqrt{17}}/{\sqrt{92}−\sqrt{22}}, b = {\sqrt{87}−\sqrt{17}}/{\sqrt{92} + \sqrt{22}}, then the value of \frac{1}{1 + a^{2}} + \frac{1}{1 + b^{2}} is

Tripura TET Math Science 2018 Solved Paper

Question : 112 of 150

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a = \;{{√{87}}\;+\;{√{17}}}/{{√{92}}−{√{22}}}

b = \;{{√{87}}−{√{17}}}/{{√{92}} + {√{22}}}

, then the value of

\;{1}/{1\;+\;a^{2}} + \;{1}/{1\;+\;b^{2}}

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