Which one of following statement is true

English

Gujarati

Hindi

4-1.Complex numbers

normal

Which one of the following statement is true

A

$|x - y|\, = \,|x|\, - \,|y|$

B

$|x + y|\, \le \,|x|\, - \,|y|$

C

$|x - y|\, \ge \,|x|\, - \,|y|$

D

$|x + y|\, \ge \,|x|\, - \,|y|$

Solution

(c)It is based on the properties of moduli.

Standard 11

Mathematics

Share

Similar Questions

If $\alpha, \beta \in R$ are such that $1-2 i$ (here $i ^{2}=-1$ ) is a root of $z^{2}+\alpha z+\beta=0,$ then $(\alpha-\beta)$ is equal to ….. .

medium

(JEE MAIN-2021)

Solving $3 – 2yi = {9^x} – 7i$, where ${i^2} = – 1,$ for $x$ and $y$ real, we get

medium

Solve the equation $x^{2}+3 x+9=0$

medium

Solve the equation $x^{2}-x+2=0$

medium

Evaluate: $\left[i^{18}+\left(\frac{1}{i}\right)^{25}\right]^{3}$.

medium