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यदि ` a(2+sqrt(3))=b(2-sqrt(3))=1` है तो `a/(a^(2)+1)+1/(b^(2)+1)` का मान ज्ञात करें।A. -1B. 1C. 4D. 9 |
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Answer» Correct Answer - B `a(2+sqrt(3))=b(2-sqrt(3))=1` `a=1/(2+sqrt(3)), b=1/(2-sqrt(3))` `implies a=1/b` `implies 1/(a^(2)+1)+1/(b^(2)+1)` `implies /(1/(b^(2))+1)+1/(b^(2)+1)` `=1/((1+b^(2))/(b^(2)))+1/(b^(2)+1)` `implies (b^(2))/(b^(2)+1)+1/(b^(2)+1)` `implies (b^(2)+1)/(b^(2)+1)=1` |
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