1.

यदि `x^(2)=1/(x^(2))=1` तो `x^(18)+x^(12)+x^(6)+1` का मान कितना होगा?A. 1B. 2C. 0D. -1

Answer» Correct Answer - C
`x^(2)+1/(x^(2))=1`
`implies (x+1/x)^(2)=3`
`implies x+1/x=sqrt(3)`
`implies x^(3)+1/(x^(3))=0=x^(6)+1=0`
Now
`x^(18)+x^(12)+x^(6)+1`
`x^(12)+(x^(5)+1)+(x^(6)+1)=x^(12)xx0+0=0`


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