1.

यदि `x+y=sqrt(3)` और `x-y=sqrt(2)` हो तो `8xy(x^(2)+y^(2))` का मान बताइये?A. 6B. `sqrt(6)`C. 5D. `sqrt(5)`

Answer» Correct Answer - C
`x+y=sqrt(3)`……………….i
`x=y=sqrt(2)`………….ii
From eq i and ii
`x=(sqrt(3)+sqrt(2))/2,y=(sqrt(3)-sqrt(2))/2`
So
`8xy(x^(2)+y^(2))`
`=8xx((sqrt(3)+sqrt(2)))/2xx((sqrt(3)-sqrt(2)))/2`
`[((sqrt(3)+sqrt(2))^(2))/4+(sqrt(3)-sqrt(2))^(2)/4]`
`=2(3-2)[(3+2+2sqrt(6)+3+2-2sqrt96)/4]`
`=2xx1xx10/4=5`


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