InterviewSolution
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यदि `a^(1//3)+b^(1/3)+c^(1/3)=0` है तो निम्न में से `a,b,c` के बीच कौन सा संबंध सही है?A. `a+b+c=0`B. `(a+b+b+c)^(3)=0`C. `a+b+c=3abc`D. `a^(3)+b^(3)+c^(3)=0` |
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Answer» Correct Answer - B `a^(1/3)+b^(1/3)+c^(1/3)=0` `implies a^(1/3)+b^(1/3)=-c^(1/3)` Take cube on both sides `(a^(1/3)+b^(1/3))^(3)=(-c^(1/3))^(3)` `implies a+b+3a^(1/3)b^(1/3)(a^(1/3)+b^(1/3))=-c` `implies a+b+3a^(1/3)b^(1/3)xx(-c^((+1)/3))=-c` `implies a+b+c=3a^(1/3)b^(1/3)c^(1/3)` again taking cube `(a+b+c)^(3)=27abc` |
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