1.

यदि `x=a+1/a` और `y=a-1/a` है तो `x^(4)+y^(4)2x^(2)y^(2)` का मान ज्ञात करें?A. 214B. 18C. 16D. 12

Answer» Correct Answer - C
`x=a+1/a`
`y=a-1/a`
`:. (x+y)=a+1/a+a-1/a=2a`
`:. (x-y)=a+1/a-a+1/a=2/a`
`:.x^(4)+y^(4)-2x^(2)y^(2)-(x^(2)-y^(2))^(2)`
`implies ((x+y)(x-y))^(2)`
`implies (2a xx 2/a)^(2)`
`=(4)^(2)=16`


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