(Q1-Q5) : (1 - 2) Introduction in Complex Numbers.

 

1sec ≫ First term  ≫ Algebra ≫ Unit 1 ≫ (1-2 )  introduction to complex numbers :

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(Q1 To Q5)

1] Which of the following is an imaginary number?
(a) $\pi$
(b) $\sqrt{5}$
(c) $\sqrt{-5}$
(d) $i^{2}$

Answer: The correct answer is (c) $\sqrt{-5}$.

2] $\mathrm{i}^{48}=$
(a) -1
(b) $\mathrm{i}^{9}$
(c) $-\mathrm{i}$
(d) 1

Answer: The correct answer is (d) 1.

3] The simplest form of the imaginary number $\mathrm{i}^{49}$ is
(a) $\mathrm{i}$
(b) -1
(c) $-\mathrm{i}$
(d) 1

Answer: The correct answer is (a) $\mathrm{i}$.

4] What is the value of $\mathrm{i}^{26} + \mathrm{i}^{28}$?
(a) $\mathrm{i}^{54}$
(b) $-\mathrm{i}$
(c) zero
(d) 2

Answer: The correct answer is (c) zero.

5] What is the value of $\mathrm{i}^{-22}$?
(a) 1
(b) -1
(c) $-\mathrm{i}$
(d) $\mathrm{i}$

Answer: The correct answer is (b) -1.