(Q11-Q15) : (1 - 2) Introduction in Complex Numbers.

 

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

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(Q11 To Q15)

[11] \((x+3) + i(y-2) = 5 + i2\), find the values of \(x\) and \(y\):

• a. \(x = 8\) and \(y = 4\)
• b. \(x = 2\) and \(y = 4\)
• c. \(x = 2\) and \(y = 0\)
• d. \(x = 8\) and \(y = 0\)

The correct answer is: b. \(x = 2\) and \(y = 4\)

[12] \(0 + 0i\) is ............. for complex numbers:

• a. Additive inverse
• b. Additive identity element
• c. Multiplicative identity element
• d. Multiplicative inverse

The correct answer is: b. Additive identity element

[13] The additive inverse of the complex number \( (5 - 3i) \) is:

• a. \( 5 + 3i \)
• b. \( -5 + 3i \)
• c. \( -5 - 3i \)
• d. \( 5 - 3i \)

The correct answer is: b. \( -5 + 3i \)

[14] If \(12 + 3ai = 4b - 27i\), then \(a + b = \)

• a. -9
• b. 12
• c. -6
• d. 6

The correct answer is: c. -6

[15] If \(x, y\) are real numbers and \(x+yi = i^{43} + 3\sqrt{-4}\), then \(x+y = \)

• a. 3
• b. 5
• c. \(3 + 2i\)
• d. \(5i\)

The correct answer is: b. 5