1.

यदि `x=a+1/a` और `y=a-1/a` हो तो `x^(4)+y^(4)-2x^(2)y^(2)` का मान ज्ञात करें?A. 4B. 8C. 16D. 64

Answer» Correct Answer - C
`x=a+1/a`
`x^(2)=a^(2)+1/(a^(2))+2`
Now
`x^(4)+y^(4)-2x^(2)y^(2)=(x^(2)-y^(2))^(2)`
`=(a^(2)+1/(a^(2))+2-a^(2)-1/(a^(2))+2)^(2)`
`=(4)^(2)=16`


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