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Quadratic Equations Worksheet

Quadratic Equations Worksheet
  • 1. If the given quadratic equation is 2x2 – 5x – 4 = 0, then state the nature of roots of given equation?
    1. The roots are real and equal
    2. The roots of the equation are real and unequal
    3. The roots are imaginary
    4. None of these is correct
  • 2. If given quadratic equation is 15x2– 11x + 3 = 0, then state the nature roots of the above equation?
    1. The roots are real and equal.
    2. The roots of equation are real and unequal
    3. The roots are imaginary
    4. None of these is correct
  • 3. Which of the following is a quadratic equation?
    1. x2 + 2 = 0
    2. x + 1/x = x2
    3. x2 + 1/ x2 = 5
    4. 2x2 – 5x = (x – 1)2
  • 4. If one root of the quadratic equation is 2x2 + ax + 6 = 0 is 2, then value of 'a' in the equation will be which of the following?
    1. 7
    2. -7
    3. 7 / 2
    4. -7 /2
  • 5. If given quadratic equation is 7 x2 - 12 x + 18 = 0, then which of these is the ratio of sum and the product of roots of given equation?
    1. 7: 12
    2. 7 : 18
    3. 2 : 3
    4. 3 : 2
  • 6. Roots of quadratic equation a *x2 + b*x + c = 0 will be the reciprocal of each other, it means that above statement is true only if?
    1. a = b
    2. b = c
    3. c = a
    4. None of these is correct
  • 7.
    Choose correct answer on basis of statements given below:
    I. If the roots of the quadratic equation ax2 + bx + c = 0 are the negative reciprocal of each other, then a + c = 0.
    II. A quadratic equation can have at most two roots.
    III. If α and β are roots of x2– 22x + 105 = 0, then α + β = 22 and α - β = 8?
    1. I and II is true and III is false
    2. I and III are true and II is false
    3. II and III are true and I is False
    4. I, II and III all are true
  • 8. If equation is in form of a *x2 + b*x + c = 0, then it is a?
    1. Linear Equation
    2. Quadratic Equation
    3. Cubic Equation
    4. None of these is correct
  • 9. Which of the following is standard form of the quadratic equation?
    1. a *x2 + b*x + c = 0
    2. ax + b = 0
    3. ax3 + bx2 + cx + d = 0
    4. None of these is correct
  • 10. If in the quadratic equation a *x2 + b*x + c = 0, we get value of D = 0, then roots are?
    1. Imaginary
    2. Real and Unequal
    3. Real and Equal
    4. None of these is correct.
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