1.

यदि `a+b+c+d=1` है तो `(1+a)(1+b)(1+c)(1+d)` का अधिकतम मान क्या होगा?A. 1B. `(1/2)^(3)`C. `(3/4)^(3)`D. `(5/4)^(4)`

Answer» Correct Answer - D
`a+b+c+d=1`
`(1+a)(1+b)(1+c)(1+d)`
`implies` For maximum value `a,b,c,d`
`a=b=c=d=1/4`
`=(1+1/4)(1+1/4)(1+1/4)(1+1/4)=(5/4)^(4)`


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