Let a_1, a_2, , a_n be non-negative real numbers such that a_1 + a_2 + + a_n = p and q = _ i<j a_i a_j. Then

JEE Main Mathematics question

Let be non-negative real numbers such that and . Then

Answer: (A)

Expand: . Since , we get , i.e. , so (A) always holds. (B) fails when only one is non-zero

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Question ID VK-013030