Solve this

Question:

Let $R=\{(a, b): a, b \in Z$ and $b=2 a-4\}$. If $(a,-2\} \in R$ and $\left(4, b^{2}\right) \in R$. Then, write the values of a and b.

 

 

Solution:

$b=2 a-4$

$a=\frac{b+4}{2}$

Put $b=-2, a=1$

Put $a=4, b=4$

a = 1 , b = 4

 

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