Question

$R$ is a relation on $N$ given by $R=\left\{\right(x,y)|4x+3y=20\}$. Which of the following doesnot belong to $R$?

• A. $(-4,12)$
• B. $(5,0)$
• C. $(3,4)$
• D. $(2,4)$

Answer 1

Answer: (C)

$(3,4)$

$R$ is given by $\left\{\right(x,y)|4x+3y=20\}$

$4\times (-4)+3\times 12=-16+36=20$

$4\times 5+3\times 0=20+0=20$

$4\times 3+3\times 4=12+12=24\ne 20$

$4\times 2+3\times 4=8+12=20$

So, among the given options $C$ does not satisfy the given condition.

All except $C$, does not belong to the set $R.$

Hence, option C is correct.