1.

यदि `x=sqrt(a)+1/(sqrt(a))` और `y=sqrt(a)-1/(sqrt(a)),(agt0)` हो तो `x^(4)+y^(4)-2x^(2)y^(2)` का मान ज्ञात कीजियें?A. 16B. 20C. 10D. 5

Answer» Correct Answer - A
`x=sqrt(a)+1/(sqrt(a)),y=sqrt(a)-1/(sqrt(a))`
put`a=4`
`x=2+1/2=5/2,y=2-1/2=3/2`
then `x^(4)+y^(4)-2x^(3)y^(2)`
`=(x^(2)-y^(2))^(2)`
`=(25/4-9/4)^(2)=16`


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