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Theory of quadratic equations

5 Class 10 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. The discriminant of ax2 + bx + c = 0 is:

    • 1 -b / 2a
    • 2 4ac
    • 3 b2 + 4ac
    • 4 b2 - 4ac
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    Correct answer: b2 - 4ac

    Discriminant = b2 - 4ac.

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  2. If the discriminant is negative, the roots are:

    • 1 Complex
    • 2 Real and distinct
    • 3 Rational
    • 4 Real and equal
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    Correct answer: Complex

    A negative discriminant gives complex roots.

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  3. The sum of the roots of x2 - 7x + 12 = 0 is:

    • 1 -7
    • 2 -12
    • 3 7
    • 4 12
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    Correct answer: 7

    Sum = -b / a = 7.

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  4. The product of the roots of x2 - 7x + 12 = 0 is:

    • 1 -12
    • 2 7
    • 3 -7
    • 4 12
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    Correct answer: 12

    Product = c / a = 12.

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  5. The discriminant of x2 - 4x + 4 = 0 is:

    • 1 4
    • 2 16
    • 3 -4
    • 4 0
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    Correct answer: 0

    16 - 16 = 0, so the roots are real and equal.

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