Period of a Function

Q.

The period of the function $F\left(x\right)=|\sin \left(2x\right)|+|\cos \left(8x\right)|$ is:

1. $2\mathrm{\pi }$

2. $\mathrm{\pi }$

3. $2\frac{\mathrm{\pi }}{3}$

4. $\frac{\mathrm{\pi }}{2}$

Q.

In a GP if the ${\left(2p\right)}^{th}$ term is $q^2$ and ${\left(2q\right)}^{th}$ term is $p^2$ where $p$ and $q\in N$ , find the$(p+q{)}^{th}$ term.$1$

Q.

The period of a function $f\left(x\right)=a^{\left\{\tan \left(\pi x\right)+x-\left|x\right|\right\}}$ where $a>0$, $\mathrm{\pi }$ denotes the greatest integer function and $x$ is a real number, is defined as

1. $\mathrm{\pi }$

2. $\frac{\mathrm{\pi }}{2}$

3. $\frac{\mathrm{\pi }}{4}$

4. $2\mathrm{\pi }$

5. $1$

Q. The period of the function $|sinx|+|cosx|$ is

1. $2\pi$
2. $\frac{\pi }{2}$
3. $4\pi$
4. $\pi$