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Quadratic equations

5 Class 11 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. 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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  2. 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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  3. If a and b are roots of x2 - 5x + 6 = 0, then a + b equals:

    • 1 -6
    • 2 5
    • 3 6
    • 4 -5
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    Correct answer: 5

    Sum of roots = 5.

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  4. 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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  5. The cube roots of unity are 1, w and w2. The value of 1 + w + w2 is:

    • 1 -1
    • 2 0
    • 3 3
    • 4 1
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    Correct answer: 0

    The sum of all cube roots of unity is 0.

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