WBJEE 2019 Math Solved Paper

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Question : 65 of 75

Marks: +1, -0

Let f(x) = x4−4x3+4x2 + c, c ∊ R. Then

f(x) has infinitely many zeros in (1, 2) for all c
f(x) has exactly one zero in (1, 2) if –1 < c < 0
f(x) has double zeros in (1, 2) if –1 < c < 0
whatever be the value of c, f(x) has no zero in (1, 2)

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