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Number systems
Written by Hassan Raza (Mathematics)
8 Class 11 Mathematics questions with answers and explanations.
Printable worksheet with answer key
All questions with answers
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Which of these is a rational number?
- 1 pi
- 2 The square root of 5
- 3 0.75
- 4 The square root of 3
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Correct answer: 0.75
0.75 = 3/4.
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i to the power 4 equals:
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Correct answer: 1
i² = -1, so i⁴ = 1.
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(1 + i)(1 - i) equals:
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Correct answer: 2
1 - i² = 1 + 1 = 2.
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The modulus of 3 + 4i is:
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Correct answer: 5
Square root of (9 + 16) = 5.
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The multiplicative inverse of 2 + i is:
- 1 1 / 2
- 2 (2 + i) / 5
- 3 (2 - i) / 5
- 4 2 - i
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Correct answer: (2 - i) / 5
1 / (2 + i) = (2 - i) / (4 + 1) = (2 - i) / 5.
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The conjugate of 5 - 2i is:
- 1 -5 + 2i
- 2 -5 - 2i
- 3 2 - 5i
- 4 5 + 2i
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Correct answer: 5 + 2i
Change the sign of the imaginary part.
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The value of i³ is:
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Correct answer: -i
i³ = i² x i = -i.
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The modulus of -3 + 4i is:
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Correct answer: 5
Square root of (9 + 16) = 5.
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