Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 70

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JEE Advanced

IMPORTANT

Earn 100

The period of the function $f (x) = 3 x + 3 - [3 x + 3] + \sin \frac{π x}{2}$ , where $[x]$ denotes the greatest integer $\leq x$ , is

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Important Questions on Relations and Functions

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 71

The value of

n \in I

for which the function

f (x) = \frac{\sin n x}{\sin (\frac{x}{n})}

has

4 π

as its period, is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 72

π

is the period of the function

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 73

Which of the following functions is non-periodic?

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 74

The period of the function

f (x) = \frac{\sin 8 x \cos x - \sin 6 x \cos 3 x}{\cos 2 x \cos x - \sin 3 x \sin 4 x}

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 75

The period of the function

f (x) = \frac{\sin x + \sin 2 x + \sin 4 x + \sin 5 x}{\cos x + \cos 2 x + \cos 4 x + \cos 5 x}

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 76

If

f (x)

is an odd periodic function with period

2

, then

f (4)

equals

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 77

If

f (x)

and

g (x)

are periodic functions with period

7

and

11

, respectively. Then, the period of

F (x) = f (x) g (\frac{x}{5}) - g (x) f (\frac{x}{3})

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 78

If the graph of

y = f (x)

is symmetrical about lines

x = 1

and

x = 2

, then which of the following is true?