1.

यदि `(a+1/a)^(2)=3` है तो `a^(3)+1/(a^(3))=?`A. `2sqrt(3)`B. `2`C. `3sqrt(3)`D. 0

Answer» Correct Answer - D
`(a+1/a)^(2)=3`
`a+1/a=sqrt(3)`
Take cube on both sides
`(a+1/a)^(3)=(sqrt(3))^(3)`
`=a^(3)+1/(a^(3))+3axx1/a(a+1/a)=3sqrt(3)`
`=a^(3)+1/(a^(3))+3sqrt(3)=3sqrt(3)`
`=a^(3)+1/(a^(3))=0`


Discussion

No Comment Found

Related InterviewSolutions