1.

यदि `(a+1/a)^(2)=3` हो तो `a^(18)+a^(12)+a^(6)+1` का मान ज्ञात कीजिये?A. 3B. 1C. 0D. 2

Answer» Correct Answer - C
`(a+1/a)^(2)=3`
`a+1/a=sqrt(3)`
`a^(3)+1/(a^(3))=0`
`a^(6)=-1`
`(a^(6)+1)=0`
so `a^(18)+a^(12)+a^(6)+1`
`implies a^(12)(a^(6)+1)+a^(6)+1`
`implies a^(12)xx0+0`
`implies 0`


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