If a, b, c, d are non-negative real numbers where a + b + c + d = 1 then the maximum value of ab + bc + cd is

JEE Advanced Mathematics question

If are non-negative real numbers where then the maximum value of is

Answer: (A)

(a + c)(b + d) = ab + bc + cd + ad \ge ab + bc + cd (as ). By AM–GM,

(a+c)(b+d) ( = 14.

So \le\fra$

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Question ID VK-110043