1.

Let `a,b,c,d in R` such that `a^2+b^2+c^2+d^2=25`A. `ab+bc+c d+dale(25)/(2)`B. `ab+bc+c d+dale25`C. `ab+bc+c d+dale5`D. `ab+bc+c d+dale(5)/(2)`

Answer» Correct Answer - B
Using `A.M.geG.M.,` we obtain
`(a^(2)+b^(2))/(2)geab,(b^(2)+c^(2))/(2)gebc,(c^(2)+d^(2))/(2)gecd" and "(d^(2)+a^(2))/(2)geda`
`implies" "a^(2)+b^(2)+c^(2)+d^(2)geab+bc+cd+da`
`implies" "ab+bc+cd+dale25`


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