A relation from C to R is defined by x y |x|=y. Which one is corr… - Vidyadip

Question

A relation $\phi$ from C to R is defined by $\text{x }\phi\text{ y}\Leftrightarrow|\text{x}|=\text{y}.$ Which one is correct?

$(2+3\text{i})\ \phi\ 13$
$3\phi\ (-3)$
$(1+\text{i})\ \phi\ 2$
$\text{i}\ \phi\ 1$

✓

Answer

$\text{i}\ \phi\ 1$

Solution:

We have,

$|\text{i}|=\sqrt{1^2+0^2}=1$

Thus, $\text{i }\phi\ 1$ satisfies $\text{x}\ \phi\text{ y}\Leftrightarrow|\text{x}|=\text{y}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Relations→Relations — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Find the sum of series 1²+ 3²+ 5²+…………………………..+ 11².

If f : R → R is defined by f(x) = x² – 3x + 2, the f(y) is:

If $\tan\Big(\frac\pi4+\text{x}\Big)+\tan\Big(\frac\pi4-\text{x}\Big)=\text{a},$ then $\tan^2\Big(\frac\pi4+\text{x}\Big)+\tan^2\Big(\frac\pi4-\text{x}\Big)=$

Each combination corresponds to many permutations:

The domain of the function $f(x)=\sqrt{x-1}+\sqrt{6-x}$

$(1-\omega +{{\omega }^{2}})(1-{{\omega }^{2}}+{{\omega }^{4}})(1-{{\omega }^{4}}+{{\omega }^{8}})...........$to $2n$ factors is [EAMCET 1988]

The locus of a first-degree equation in x, y, z is a:

Choose the correct answer.
If a + ib = c + id, then:

An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is:

A = (1, -1, 2) and B = (2, 3, 7) are two points. lf P, O divide AB in the ratios 2 : 3, -2 : 3 respectively then P_x + Q_y =