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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)` |
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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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