A relation R from C to R is defined by xRy iff |x| = y. Which of the following is correct?
Answer & explanation
Correct answer: option 4
$|2+3 i|=\sqrt{(2)^2+(3)^2}=\sqrt{13} \neq 13$
∴ (2 + 3i) R 13 is wrong.
$|3|=\sqrt{(3)^2+0^2}=\sqrt{9}=3 \neq-3$
∴ 3R (–3) is wrong
$|1+i|=\sqrt{(1)^2+(1)^2}=\sqrt{2} \neq 2$
∴ (1 + i) R2 is wrong
$|1+i|=\sqrt{(1)^2+(1)^2}=\sqrt{2} \neq 2$
∴ iR1 is correct.
Hence (4) is the correct answer.