Muhammad Imdad Ullah

Multiple Choice Questions about the Theory of Quadratic Equation Class 10 Mathematics with Answers. There are 20 MCQs about the Theory of Quadratic Equations from Chapter 2 of class 10 Mathematics. Let us start with the “Theory of Quadratic Equation Class 10” quiz.

Online Multiple Choice Questions about Theory of Quadratic Equations 10th Class Mathematics Chapter 2

1. $\omega^4=$?

 0

 $\omega$

 $\omega^2$

 1

2. Which of the following is a true description of the nature of the roots of a quadratic equation?

 Real, imaginary, unequal

 Real, irrational, unequal

 Real, irrational, equal

 Complex, repeated, rational

3. If the roots of a quadratic equation are rational and distinct then the discriminant is

 Negative

 Zero

 Not perfect square

 Perfect square

4. If the roots of a quadratic equation are real and distinct then the discriminant is

 Imaginary

 Positive

 Zero

 Negative

5. If the roots of a quadratic equation are real, rational, and equal, then the possible value of the discriminant is

 0

 40

 36

 -49

6. If $\omega$ and $\omega^2$ are complex cube roots of unity, then $\omega \cdot \omega^2=$?

 1

 0

 2

 -1

7. If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega + \omega^2=$

 0

 -1

 $\omega^3$

 1

8. If $\omega = \frac{-1 – \sqrt{-3}}{2}$ then $\omega^2=$?

 $\frac{-1 + \sqrt{-3}}{2}$

 $\frac{-1 + \sqrt{3}}{2}$

 $\frac{-1 \pm \sqrt{-3}}{2}$

 $\frac{-1 \pm \sqrt{3}}{2}$

9. The roots of $x^2+8x+16=0$ are

 Imaginary

 Equal

 Irrational

 Unequal

10. If for a quadratic equation $b^2-4ac=0$ then roots are

 Irrational

 Distinct

 Complex

 Repeated

11. If the roots of a quadratic equation are real, irrational, and unequal, then the possible value of the discriminant is

 0

 5

 9

 -7

12. If for a quadratic equation $b^2 – 4ac=49$ then the roots are real and

 Unequal

 Imaginary

 Equal

 Irrational

13. If the roots of a quadratic equation are imaginary and unequal, the possible value of the discriminant is

 -9

 0

 8

 9

14. If the roots of a quadratic equation are real, rational, and unequal then the possible value of the discriminant is

 0

 36

 -25

 40

15. If the roots of a quadratic equation equal then the discriminant is

 Negative

 Positive

 Zero

 Irrational

16. If for a quadratic equation, $b^2-4ac=205$ then the roots are

 Irrational

 Equal

 Rational

 Complex

17. If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega=$

 0

 $\omega^2$

 $\omega$

 $-\omega^2$

18. If the roots of a quadratic equation are imaginary then the discriminant is

 Irrational

 Zero

 Negative

 Positive

19. If for a quadratic equation, $b^2-4ac=-47$ then the roots are

 Rational

 Complex

 Real

 Irrational

20. If the roots of a quadratic equation are irrational and distinct then the discriminant is

 Zero

 Perfect square

 Negative

 Not perfect square

 Loading …

Theory of Quadratic Equation Class 10 Mathematics

• The roots of $x^2+8x+16=0$ are
• If the roots of a quadratic equation equal then the discriminant is
• If the roots of a quadratic equation are imaginary then the discriminant is
• If the roots of a quadratic equation are real and distinct then the discriminant is
• If the roots of a quadratic equation are rational and distinct then the discriminant is
• If the roots of a quadratic equation are irrational and distinct then the discriminant is
• If for a quadratic equation $b^2 – 4ac=49$ then the roots are real and
• If for a quadratic equation, $b^2-4ac=-47$ then the roots are
• If for a quadratic equation $b^2-4ac=0$ then roots are
• If for a quadratic equation, $b^2-4ac=205$ then the roots are
• Which of the following is a true description of the nature of the roots of a quadratic equation?
• If the roots of a quadratic equation are real, rational, and equal, then the possible value of the discriminant is
• If the roots of a quadratic equation are real, rational, and unequal then the possible value of the discriminant is
• If the roots of a quadratic equation are real, irrational, and unequal, then the possible value of the discriminant is
• If the roots of a quadratic equation are imaginary and unequal, the possible value of the discriminant is
• If $\omega = \frac{-1 – \sqrt{-3}}{2}$ then $\omega^2=$?
• If $\omega$ and $\omega^2$ are complex cube roots of unity, then $\omega \cdot \omega^2=$?
• $\omega^4=$?
• If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega + \omega^2=$
• If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega=$

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Online multiple-choice questions about the Theory of Quadratic Equations Class 10 with Answers. The Quiz contains 20 MCQs from Chapter 2 of class 10 Mathematics. Let us start with the Theory of Quadratic Equations Quiz.

Please go to MCQs Theory of Quadratic Equations 1 to view the test

Theory of Quadratic Equations 10 Class Mathematics

• If $\alpha$ and $\beta$ are the roots of $3x^2+5x-2=0$ then $\alpha + \beta$ is
• If $\alpha$ and $\beta$ are the roots of $7x^2-x+4=0$ then $\alpha\beta$ is
• The roots of the equation $4x^2-5x+2=0$ are
• Cube roots of $-1$ are
• The sum of the cube roots of unity is
• The product of cube roots of unity is
• If $b^2-4ac <0$ then the roots of $ax^2+bx+c=0$ are If $b^2-4ac>0$ but not a perfect square then roots of $ax^2+bx+c=0$ are
• $\frac{1}{\alpha} + \frac{1}{\beta}$ is equal to
• $\alpha^2+\beta^2$ is equal to
• Two square roots of unity are
• The roots of the equation $4x^2-4x + 1 =0$ are
• If $\alpha, \beta$ are the roots of $px^2+qx+r=0$ then sum of the roots $2\alpha$ and $2\beta$ is
• If $\alpha, \beta$ are the roots of $x^2-x-1=0$ then product of the roots $2\alpha$ and $2\beta$ is
• The nature of the roots of equation $ax^2+bx+c=0$ is determined by
• The discriminant of $ax^2+bx+c=0$ is
• If $b^2-4ac>0$ and is a perfect square then roots of $ax^2+bx+c=0$ are
• If $b^2-4ac=0$ then roots of $ax^2+bx+c=0$ are
• Discriminant of $2x^2 -7x+1=0$ is
• Discriminant of $x^2-3x+3=0$ is

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