The number of elements in the set { (a,,b):2{ | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(c) Given set is $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $

We can see that, $2{( \pm 2)^2} + 3{( \pm 3)^2} = 35$ and $2{( \pm 4)^2} + 3{(

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(c) Given set is $\{ (a,\,b):2{a^2} + 3{b^2} = 35,\;a,\,b \in Z\} $

We can see that, $2{( \pm 2)^2} + 3{( \pm 3)^2} = 35$ and $2{( \pm 4)^2} + 3{( \pm 1)^2} = 35$

$ 	herefore (2, 3), (2, -3), (-2, -3), (-2, 3), (4, 1), (4, -1),$

$(-4, -1), (-4, 1)$ are $8$ elements of the set. 

$ 	herefore  n = 8$.

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

Similar Questions

Examine whether the following statements are true or false :

$\{ 1,2,3\} \subset \{ 1,3,5\} $

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

$\{ \{ 3,4\} \} \subset A$

Let $A, B,$ and $C$ be the sets such that $A \cup B=A \cup C$ and $A \cap B=A \cap C$. Show that $B = C$

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

$\{\varnothing\} \subset A$

Which set is the subset of all given sets