The period of the function $f\left(x\right)=\sin 5x+\cos \sqrt{3}x$ is

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 70

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

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 $f\left(x\right)=\frac{\sin nx}{\sin \left(\frac{x}{n}\right)}$ has $4\pi$ 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

$\pi$ 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 $f\left(x\right)=\frac{\sin 8x\cos x-\sin 6x\cos 3x}{\cos 2x\cos x-\sin 3x\sin 4x}$ 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 $f\left(x\right)=\frac{\sin x+\sin 2x+\sin 4x+\sin 5x}{\cos x+\cos 2x+\cos 4x+\cos 5x}$ 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 $f\left(x\right)$ is an odd periodic function with period $2$, then $f\left(4\right)$ 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 $f\left(x\right)$ and $g\left(x\right)$ are periodic functions with period $7$ and $11$, respectively. Then, the period of $F\left(x\right)=f\left(x\right)g\left(\frac{x}{5}\right)-g\left(x\right)f\left(\frac{x}{3}\right)$ is