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دو درجی مساواتیں

گیارہویں جماعت · ریاضی · 8 سوالات

نام: ____________________   تاریخ: ____________

  1. The roots of x² - 3x + 2 = 0 are:

    • A 3 and 2
    • B 1 and 2
    • C -1 and -2
    • D 1 and -2
  2. If the roots of a quadratic are real and equal, the discriminant is:

    • A Negative
    • B Zero
    • C Positive
    • D Undefined
  3. If a and b are roots of x² - 5x + 6 = 0, then a + b equals:

    • A -6
    • B 5
    • C 6
    • D -5
  4. A quadratic with roots 2 and 3 is:

    • A x² - x + 6 = 0
    • B x² - 5x + 6 = 0
    • C x² - 6x + 5 = 0
    • D x² + 5x + 6 = 0
  5. The cube roots of unity are 1, w and w². The value of 1 + w + w² is:

    • A -1
    • B 0
    • C 3
    • D 1
  6. Solve x² - 4x + 4 = 0.

    • A x = 2 (repeated)
    • B x = 4
    • C x = 2 or -2
    • D x = -2
  7. If one root of x² - 5x + 6 = 0 is 2, the other is:

    • A 3
    • B -3
    • C 4
    • D -2
  8. The complex cube roots of unity are:

    • A i and -i
    • B 1 and -1
    • C 2 and 3
    • D w and w²

جوابی کلید

1. B, 2. B, 3. B, 4. B, 5. B, 6. A, 7. A, 8. D

  1. (x - 1)(x - 2) = 0.

  2. b² - 4ac = 0 gives equal real roots.

  3. Sum of roots = 5.

  4. x² - (sum)x + product = x² - 5x + 6.

  5. The sum of all cube roots of unity is 0.

  6. (x - 2)² = 0.

  7. The product of roots is 6.

  8. They are the two non real roots of x³ = 1.