Draw the Venn diagram of $A - B$ where $A \text{and} B$ are non empty sets.

For what positive value of $\text{'}p\text{'}$the following pair of linear equations have infinitely many solutions.

$px+3y-(p - 3)=0$

$12x+py-p=0$

Write the following sets in set builder form 

$\left\{-2,-1,0,1,2\right\}$

Write the following sets in set builder form 

$\left\{1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}\right\}$

Show that $\cot \theta +\tan \theta =\sec \theta .\mathrm{cosec} \theta$

If $A=\mathrm{\{}\mathrm{x}:\mathrm{x}$ is a natural number$\}$

$\mathrm{B} = \{\mathrm{x} : \mathrm{x}$ is an even natural number$\}$

$\mathrm{C} = \{\mathrm{x} : \mathrm{x}$ is an odd natural number$\}$

$\mathrm{D}=\mathrm{\{}\mathrm{x}:\mathrm{x}$ is a prime number$\}$

Find $A-B, B\cap C, A\cup B, B-D$