Let R = [(x, y) :

Question:

Let R = [(xy) : xy ∈ Z, y = 2x − 4]. If (a, -2) and (4, b2) ∈ R, then write the values of a and b.

Solution:

R = [(xy) : xy ∈ Z, y = 2x − 4]

$(a,-2)$ and $\left(4, b^{2}\right) \in \mathrm{R}$

So, $-2=2($ a) $-4$

$\Rightarrow 2=2 a$

$\Rightarrow a=1$

Also, $b^{2}=2(4)-4$

$\Rightarrow b^{2}=4$

$\Rightarrow b=\pm 2$

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