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

    $12$

Similar Questions

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

$\{a, b, c\} \ldots\{b, c, d\}$

State whether each of the following set is finite or infinite :

The set of numbers which are multiple of $5$

Which of the following are sets ? Justify your answer.

The collection of all even integers.

Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?

$\varnothing \in A$

Write the following sets in the set-builder form :

$\{ 2,4,6 \ldots \} $