Muhammad Imdad Ullah

The post is about the Theory of Quadratic Equations MCQ Class 10 from Chapter 2 of Mathematics. There are 20 MCQs from Chapter 2 of class 10 Mathematics. Let us start with the Theory of Quadratic Equation MCQs Class 10.

Online Multiple Choice Questions from Chapter 2 of Class 10 Mathematics from “Theory of Quadratic Equations” with Answers

1. $\left(1-\omega – \omega^2\right)^5=$

 6

 64

 16

 32

2. If $\omega$ is complex cube roots of unity, then $\omega^{63}=$

 1

 $-\omega^2$

 $\omega$

 $-\omega$

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

 $\omega^2$

 $-\omega^2$

 $-\omega$

 $\omega$

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

 $2\omega^2$

 1

 -1

 $\omega^3$

5. $\left(9+4\omega + 4\omega^2\right)^3=$

 25

 125

 15

 $(17)^3$

6. if $\omega$ is complex cube roots of unity, then $\omega^7=$

 $-\omega^2$

 $-\omega$

 $\omega^2$

 $\omega$

7. Which of the following are symmetric functions of the roots of a quadratic equation?

 $\alpha^3+\beta^3$

 All of these options

 $\alpha^2 + \beta^2$

 $\frac{1}{\alpha}+ \frac{1}{\beta}$

8. The sum of five times a number and the square of the number is

 $(5x+x)^2$

 $5x+x^2$

 $5(x+x^2)$

 $5x^2+x$

9. If $\omega$ is complex cube roots of unity, then $\omega^{-5}=$

 $-\omega^2$

 $\omega$

 $-\omega$

 1

10. If $\omega$ is complex cube roots of unity, then $\omega^{-16}=$

 $\omega$

 $-\omega^2$

 $\omega^2$

 $-\omega$

11. $\left(-1 + \sqrt{-3}\right)^2=$

 -28

 8

 1

 -4

12. Cube roots of 64 are

 $4, 16 \omega$

 $-4, -4\omega, -4\omega^2$

 $(4)^3$

 $4, 4\omega, 4\omega^2$

13. “Five less than three times a certain number” is

 $5x+3$

 $3x-5$

 $5x-3$

 $3x+5$

14. If $\omega$ is complex cube roots of unity, then $\omega^{-27}=$

 -1

 $\omega$

 $\omega^2$

 1

15. Cube roots of -27 are

 $-3, 3\omega, 3\omega^2$

 $3, -3\omega, 3\omega^2$

 $-3, -3\omega, -3\omega^2$

 $3, 3\omega, -3\omega^2$

16. Which of the following shows “the product of two consecutive positive numbers”?

 $x(x+1)$

 $x(x+3)$

 $x(x+2)$

 $x(x+4)$

17. $\left(1-3\omega – 3\omega^2\right)^3=$

 16

 64

 -125

 12

18. If the length and width of a rectangle are $x$ and $y$ respectively then which of the following shows the perimeter?

 $2xy$

 $2(x+y)$

 $2x-2y$

 $(x+y)^2$

19. If $\omega$ is complex cube roots of unity, then $\omega^{23}=$

 $-\omega^2$

 $\omega^2$

 $\omega$

 $-\omega$

20. The cube roots of 8 are

 $-2, -2\omega, -2\omega^2$

 $2, 2\omega, 2\omega^2$

 $2, -2\omega, 2\omega^2$

 $2, -2\omega, -2\omega^2$

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Theory of Quadratic Equation MCQS

• If $1, \omega, \omega^2$ are cube roots of unity, then $1+\omega^2=$
• If $1, \omega, \omega^2$ are cube roots of unity, then $\omega+\omega^2=$
• if $\omega$ is complex cube roots of unity, then $\omega^7=$
• If $\omega$ is complex cube roots of unity, then $\omega^{23}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{63}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{-5}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{-16}=$
• If $\omega$ is complex cube roots of unity, then $\omega^{-27}=$
• $\left(-1 + \sqrt{-3}\right)^2=$
• The cube roots of 8 are
• Cube roots of -27 are
• Cube roots of 64 are
• $\left(1-\omega – \omega^2\right)^5=$
• $\left(1-3\omega – 3\omega^2\right)^3=$
• $\left(9+4\omega + 4\omega^2\right)^3=$
• Which of the following are symmetric functions of the roots of a quadratic equation?
• Which of the following shows “the product of two consecutive positive numbers”?
• The sum of five times a number and the square of the number is
• If the length and width of a rectangle are $x$ and $y$ respectively then which of the following shows the perimeter?
• “Five less than three times a certain number” is

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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.

Please go to MCQs Theory of Quadratic Equation class 10 2 to view the test

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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