(Q6-Q10) : (1 - 2) Introduction in Complex Numbers.

 

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

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(Q6 To Q10)

[6] What is $\frac{1}{\mathrm{i}^{199}}$?
(a) 1
(b) $-\mathrm{i}$
(c) $\mathrm{i}$
(d) -1

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

[7] What is \( \sqrt{-18} \times \sqrt{-12} \)?
(a) \(6 \sqrt{3}i\)
(b) \(6 \sqrt{3}\)
(c) \(-6 \sqrt{3}\)
(d) \(-6 \sqrt{3}i\)

Answer: The correct answer is (c) \(-6 \sqrt{3}\).

[8] Evaluate \( (-4i) \times (-6i) \)
(a) \(-10i\)
(b) \(24i\)
(c) \(-24i\)
(d) \(-24\)

Answer: The correct answer is (d) \(-24\).

[9] What is \( (-2\mathrm{i})^3 \times (-3\mathrm{i})^2 \)?
(a) \(-72 \mathrm{i}\)
(b) \(72 \mathrm{i}\)
(c) 72
(d) \(-72\)

Answer: The correct answer is (a) \(-72 \mathrm{i}\).

[10] What is \( 1 + i + \mathrm{i}^2 + \mathrm{i}^3 + \mathrm{i}^4 \)?
(a) \(4i + 1\)
(b) -1
(c) 1
(d) 5

Answer: The correct answer is (c) 1.