Let f(x) = ax^2 + bx + c, where a, b, c are rational, and f : Z Z , where Z is the set of integers. Then a + b is

JEE Advanced Mathematics question

Let , where are rational, and , where is the set of integers. Then is

Answer: (B)

and . Hence is an integer. It need not be negative (e.g. x^2$ +

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Question ID VK-109112