Express the complex numbers i^9 + i^ 19 in the form a + ib. - Vidyadip

Question

Express the complex numbers $i^9 + i^{19}$ in the form a + ib.

✓

Answer

$i^9 + i^{19} = {({i^2})^4} \cdot i + {({i^2})^9} \cdot i$
$ = {( - 1)^4} \cdot i + {( - 1)^9} \cdot i$
= i - i = 0

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 "(Each question 1 marks)" from COMPLEX NUMBERS AND QUADRATIC EQUATIONS→COMPLEX NUMBERS AND QUADRATIC EQUATIONS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Compute $(98)^5$.

Prove that: $2\sin\frac{5\pi}{12}\sin\frac{\pi}{12}=\frac{1}{2}$

If $|\text{x}|<1$ and $\text{y}=1+\text{x}+\text{x}^2+\text{x}^3+\dots,$ then write the value of $\frac{\text{dy}}{\text{dx}}.$

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die
B: getting on odd number on the first die
C: getting the sum of the numbers on the dice $\le 5$
Describe the event A or B

Write the domain and range of function f(x) given by $\text{f(x)}=\sqrt{[\text{x}]-\text{x}}$

Three coins are tossed. Describe Two events which are mutually exclusive but not exhaustive.

Compute the derivative of $6x^{100} – x^{55} + x$.

Find the values of the trigonometric function: $\tan \frac{{19\pi }}{3}$

Find the limit: $\lim \limits_{x \rightarrow 2}\left[\frac{x^{2}-4}{x^{3}-4 x^{2}+4 x}\right]$

A die is thrown. Find the probability that a prime number will appear.