JEE Advanced Model Paper 4 with solutions for online practice

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Question : 50 of 54

Marks: +1, -0

Consider the function f(x) =

[cos(tan−1(sin(cot−1x)))]2

. Which of thefollowing is correct?

Range of f is (0,1)
f is even
f'(0) = 0
The line y = 1 is asymptode to the graph y = f ( x)

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