The number of elements in the set $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $, where $Z$ is the set of all integers, is

- A
$2$

- B
$4$

- C
$8$

- D
$12$

The set $A = \{ x:x \in R,\,{x^2} = 16$ and $2x = 6\} $ equals

Make correct statements by filling in the symbols $\subset$ or $ \not\subset $ in the blank spaces:

$\{ x:x$ is a student of class $\mathrm{XI}$ of your school $\} \ldots \{ x:x$ student of your school $\} $

List all the elements of the following sers :

$C = \{ x:x$ is an integer ${\rm{; }}{x^2} \le 4\} $

Write the set $A = \{ 1,4,9,16,25, \ldots .\} $ in set-builder form.

Write the following sets in roster form :

$A = \{ x:x$ is an integer and $ - 3 < x < 7\} $