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

EASY

JEE Advanced

IMPORTANT

Earn 100

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

50% studentsanswered this correctly

Important Questions on Relations and Functions

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?

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 79

The graph of

(Y - X)

against

(Y + X)

is shown below

Question Image

Which one of the following shows the graph of $Y$ against $X$ ?

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 80

If the graph of the function

f (x) = \frac{a^{x} - 1}{x^{n} (a^{x} + 1)}

is symmetrical about

Y

-axis, then

n

equals

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 81

Function

f : (- \infty, - 1] \to (0, e^{5}]

defined by

f (x) = e^{x^{3} - 3 x + 2}

, is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 82

Let

f : N \to N

defined by

f (x) = x^{2} + x + 1, x \in N

, then

f

is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 2>Chapter 3 - Relations and Functions>Target Exercises>Q 83

Let

S

be the set of all triangles and

R^{+}

be the set of positive real numbers. Then, the function

f : S \to R^{+}, f (Δ) =

area of

Δ

, where

Δ \in S

, is