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MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - JEE MCQ


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19 Questions MCQ Test - MCQ (Previous Year Question) - Relations And Functions (Competition Level 1)

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) for JEE 2024 is part of JEE preparation. The MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) questions and answers have been prepared according to the JEE exam syllabus.The MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) below.
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MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 1

Which of the following is not a periodic function - 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 2

The period of sin2 x is- 

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*Multiple options can be correct
MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 3

The function f : R → R defined by f(x) = sin x is-   

*Multiple options can be correct
MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 4

The range of the function f(x) = , x > 2 is-  

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 5

The function f(x) = log (x + ), is-         

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 6

Domain of definition of the function f(x) = + log10 (x3 – x), is- 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 7

If f : R → R satisfies f(x+ y) = f(x) + f(y), for all x, y Î R and f(1) = 7, then is- 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 8

A function f from the set of natural numbers to integers defined by f(n) = is   

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 9

The range of the function f(x) = 7xPx3 is- 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 10

If f : R → S, defined by f(x) = sin x – √3cos x+ 1, is onto, then the interval of S is-

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 11

The graph of the function y = f(x) is symmetrical about the line x = 2, then- 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 12

The domain of the function f(x) = is-

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 13

Let f : (–1, 1) → B, be a function defined by f(x) = tan-1 , then f is both one-one and onto when B is the interval - 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 14

A real valued function f(x) satisfies the functional equation f(x – y) = f(x) f(y)– f (a–x) f(a + y) where a is a given constant and f(0)=1, then f(2a – x) is equal to -

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 15

The largest interval lying in  for which the function  is defined, is - 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 16

Let f : N → Y be a function defined as f(x) = 4x + 3 where Y = |y ∈ N : y = 4x + 3 for some x ∈ N|. Show that f is invertible and its inverse is  

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 17

For real x, let f(x) = x3 + 5x + 1, then - 

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 18

Let f(x) = (x + 1)2 –1, x > –1 
Statement – 1 : The set {x : f(x) = f-1(x)} = {0, - 1}.
Statement – 2 : f is a bijection.

MCQ (Previous Year Question) - Relations And Functions (Competition Level 1) - Question 19

The domain of the function f(x) =  is : 

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