28 JEE Main 2021 Functions previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 previous-year questions from the Functions chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Functions chapter hub.
The range of the function f ( x ) = log 5 3 + cos 3 π 4 + x + cos π 4 + x + cos π 4 - x - cos 3 π 4…
If the domain of the function f x = cos - 1 x 2 - x + 1 sin - 1 2 x - 1 2 is the interval ( α ,   β ] ,…
The domain of the function, f x = sin - 1 3 x 2 + x - 1 ( x - 1 ) 2 + cos - 1 x - 1 x + 1 is:
If x be the greatest integer less than or equal to x , then   ∑ n = 8 100 - 1 n n 2 is equal to:
Let f , g : N → N such that f n + 1 = f n + f 1   ∀   n ∈ N and g be any arbitrary function…
The number of elements in the set x ∈ R : | x | - 3 x + 4 = 6 is equal to
Let f : N → N be a function such that f m + n = f m + f n for every m ,   n ∈ N . If f 6 = 18 then f 2…
The domain of the function cosec - 1 1 + x x is :
Let A = { 0 ,   1 ,   2 ,   3 ,   4 ,   5 ,   6 ,   7 } . Then the number of bijecti…
A function f ( x ) is given by f x = 5 x 5 x + 5 , then the sum of the series f 1 20 + f 2 20 + f 3 20 + … + f 39…
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