InterviewSolution
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InterviewSolution
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यदि `(a^(2)+b^(2))^(3)=(a^(3)+b^(3))^(2)` है तो `a/b+b/a=?`A. `1/3`B. `2/3`C. `-1/3`D. `-2/3` |
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Answer» Correct Answer - B `(a^(2)+b^(2))^(3)=(a^(3)+b^(3))^(2)` `implies a^(6)+b^(6)+3a^(2)b(a^(2)+b^(2))=a^(6)+` `b^(6)+2a^(3)b^(3)` `implies a^(6)+b^(6)+3a^(4)b^(2)+3a^(2)b^(4)=a^(6)+` `b^(6)+2a^(3)b^(3)` `implies 3a^(4)b^(2)+3a^(2)b^(4)=2a^(3)b^(3)` `implies a^(2)b^(2)(3a^(2)+3b^(2))=2a^(3)b^(3)` `3a^(2)+3b^(2)=2ab` `3(a^(2)+b^(2))=2ab` `implies(a^(2)+b^(2))/(ab)=2/3` `implies a/b+b/a=2/3` |
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