Identify the correct statement

Important Questions on Relation and Functions

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 16

Consider that the graph of $y=f\left(x\right)$ is symmetric about the lines $x=2$ and $x=4$ then the period of $f\left(x\right)$ is

EASY

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 17

If $f\left(x\right)$ is a real-valued function defined as $f\left(x\right) = \ln (1 – \sin x)$, then the graph of $f\left(x\right)$ is

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 18

If $\tan ax+\cot ax$ and $\left|\tan x\right|+\left|\cot x\right|$ are periodic functions of the same fundamental period then $a$ equals

HARD

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 19

Identify the correct option

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 20

If $2^{f\left(x\right)}=\frac{2+x}{2-x},x\in \left(-2,2\right)$ and $f\left(x\right)=\lambda f\left(\frac{8x}{4+x^2}\right)$ then value of ' $\lambda$ ' will be

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 21

If $\left\{x\right\}$ and $\left[x\right]$ represent fractional and integral part of $x$, then $\left[x\right]+\sum _{r=1}^{1090}\frac{\{x+r\}}{1090}=$

HARD

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 22

Let $f\left(x\right)=\left|\right| x-1|+a|-4$, if $f\left(x\right)=0$ has three real solution, then the values of $a$ lies in

HARD

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IMPORTANT

Gamma Question Bank for Engineering Mathematics>Chapter 18 - Relation and Functions>Assignment>Q 1

If $f:\{x:-1\le x\le 1\}\to \{x:-1\le x\le 1\}$, then which is/ are bijective?