Let f(x) = 5a^2 + 4(x-1) - x^2, x R and a is a real constant. If the maximum value of f(x) is 20 then a is

JEE Advanced Mathematics question

Let , and is a real constant. If the maximum value of is 20 then is

Answer: (A),(C)

at , and , so is the (global) maximum of this downward parabola:

f(2)

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Question ID VK-110126