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Quadratic equations
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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The roots of x² - 3x + 2 = 0 are:
- 1 3 and 2
- 2 1 and 2
- 3 -1 and -2
- 4 1 and -2
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Correct answer: 1 and 2
(x - 1)(x - 2) = 0.
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If the roots of a quadratic are real and equal, the discriminant is:
- 1 Negative
- 2 Zero
- 3 Positive
- 4 Undefined
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Correct answer: Zero
b² - 4ac = 0 gives equal real roots.
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If a and b are roots of x² - 5x + 6 = 0, then a + b equals:
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Correct answer: 5
Sum of roots = 5.
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A quadratic with roots 2 and 3 is:
- 1 x² - x + 6 = 0
- 2 x² - 5x + 6 = 0
- 3 x² - 6x + 5 = 0
- 4 x² + 5x + 6 = 0
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Correct answer: x² - 5x + 6 = 0
x² - (sum)x + product = x² - 5x + 6.
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The cube roots of unity are 1, w and w². The value of 1 + w + w² is:
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Correct answer: 0
The sum of all cube roots of unity is 0.
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Solve x² - 4x + 4 = 0.
- 1 x = 2 (repeated)
- 2 x = 4
- 3 x = 2 or -2
- 4 x = -2
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Correct answer: x = 2 (repeated)
(x - 2)² = 0.
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If one root of x² - 5x + 6 = 0 is 2, the other is:
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Correct answer: 3
The product of roots is 6.
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The complex cube roots of unity are:
- 1 i and -i
- 2 1 and -1
- 3 2 and 3
- 4 w and w²
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Correct answer: w and w²
They are the two non real roots of x³ = 1.
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