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Number systems

Class 11 · Mathematics · 5 questions

Name: ____________________   Date: ____________

  1. Which of these is a rational number?

    • A pi
    • B The square root of 5
    • C 0.75
    • D The square root of 3

  2. i to the power 4 equals:

    • A i
    • B -1
    • C 1
    • D -i

  3. (1 + i)(1 - i) equals:

    • A -2
    • B 0
    • C 2
    • D 1 - i2

  4. The modulus of 3 + 4i is:

    • A 5
    • B 1
    • C 25
    • D 7

  5. The multiplicative inverse of 2 + i is:

    • A 1 / 2
    • B (2 + i) / 5
    • C (2 - i) / 5
    • D 2 - i

Answer key

1. C, 2. C, 3. C, 4. A, 5. C

  1. 0.75 = 3/4.

  2. i2 = -1, so i4 = 1.

  3. 1 - i2 = 1 + 1 = 2.

  4. Square root of (9 + 16) = 5.

  5. 1 / (2 + i) = (2 - i) / (4 + 1) = (2 - i) / 5.