MCQs Quadratic Equations Questions 3

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The post is about Multiple Choice Questions from Chapter 4 of Intermediate First-Year Mathematics. The Quiz is about Quadratic Equations Questions with Answers. There are 28 MCQ Type Questions with answers. Let us start with the quiz “Quadratic Equations Questions”.

Online Multiple Choice Questions about Quadratic Equations First Year Mathematics with Answers

1. The fourth roots of unity are

 
 
 
 

2. $x^2-x-6=0$ has roots

 
 
 
 

3. The roots of $ax^2+bx+c=0$ are equal, if

 
 
 
 

4. If $S$ and $P$ are the sum and product of the roots of a quadratic equation then the equation is

 
 
 
 

5. If the discriminant is positive and not a perfect square then the roots are

 
 
 
 

6. The basic techniques for solving quadratic equations is/ are

 
 
 
 

7. If the discriminant is zero, then the roots are

 
 
 
 

8. If the roots of $ax^2+bx+c=0$, ($a\ne 0$) are real then

 
 
 
 

9. If the discriminant is negative, then the roots are

 
 
 
 

10. If $\alpha$ and $\beta$ are the roots of $3x^2-2x+4=0$ then the value of $\alpha+\beta$ is

 
 
 
 

11. If $ax^2+bx+c=0$ then the discriminant is

 
 
 
 

12. For any $n\in Z, $\omega^n$ is equivalent to one of

 
 
 
 

13. The roots of equation $x^2+2x+3=0$ are

 
 
 
 

14. The equation of the form $ax^2+bx+c=0$ where $a, b, c \in R$, and $a\ne 0$ is called

 
 
 
 

15. The roots of $2x^2-bx + 8=0$ are imaginary, if

 
 
 
 

16. If the discriminant is a positive and perfect square then the roots are

 
 
 
 

17. If $p$ and $q$ are the roots of $8x^2-3x-16=0$ then $pq$ is equal to

 
 
 
 

18. To solve $ax^2  + bx+c=0$ where $a, b,c \in R and $a\ne 0$, we can use

 
 
 
 

19. A quadratic equation is also called

 
 
 
 

20. The roots of $ax^2+bx+c=0$ are imaginary, if

 
 
 
 

21. The synthetic division is a process of

 
 
 
 

22. If 2 and -5 are roots of a quadratic equation then the equation is

 
 
 
 

23. The degree of a quadratic equation is

 
 
 
 

24. If the roots $px^2+qx+1=0$ are equal then

 
 
 
 

25. $\omega^{28}+\omega^{29}+1=$?

 
 
 
 

26. A quadratic equation $Ax^2+Bx+C=0$ becomes a linear equation if

 
 
 
 

27. The graph of a quadratic equation is

 
 
 
 

28. The equation of the form $(x+a)(x+b)(x+c)(x+d)=k$, where $a+b=c+d$, can be converted into

 
 
 
 

The standard form of a quadratic equation is written as:

$$ax^2+bx+c=0$$

where:

$a, b$, and $c$ are coefficients (numbers), and $x$ is variable, provided that $a \ne 0$ (otherwise it would not be a quadratic equation).

Online MCQs Quadratic Equations Questions

Quadratic Equations Questions Intermediate Mathematics First Year
  • If 2 and -5 are roots of a quadratic equation then the equation is
  • If $S$ and $P$ are the sum and product of the roots of a quadratic equation then the equation is
  • If $\alpha$ and $\beta$ are the roots of $3x^2-2x+4=0$ then the value of $\alpha+\beta$ is
  • If $p$ and $q$ are the roots of $8x^2-3x-16=0$ then $pq$ is equal to
  • If $ax^2+bx+c=0$ then the discriminant is
  • If the roots of $ax^2+bx+c=0$, ($a\ne 0$) are real then
  • The roots of $ax^2+bx+c=0$ are imaginary, if
  • The roots of $ax^2+bx+c=0$ are equal, if
  • If the discriminant is a positive and perfect square then the roots are
  • If the discriminant is positive and not a perfect square then the roots are
  • If the discriminant is negative, then the roots are
  • If the discriminant is zero, then the roots are
  • The roots of $2x^2-bx + 8=0$ are imaginary, if
  • The equation of the form $ax^2+bx+c=0$ where $a, b, c \in R$, and $a\ne 0$ is called
  • A quadratic equation is also called
  • The degree of a quadratic equation is
  • The graph of a quadratic equation is
  • The basic techniques for solving quadratic equations is/ are
  • To solve $ax^2  + bx+c=0$ where $a, b,c \in R and $a\ne 0$, we can use
  • The equation of the form $(x+a)(x+b)(x+c)(x+d)=k$, where $a+b=c+d$, can be converted into
  • For any $n\in Z, $\omega^n$ is equivalent to one of
  • $\omega^{28}+\omega^{29}+1=$?
  • The fourth roots of unity are
  • The synthetic division is a process of
  • $x^2-x-6=0$ has roots
  • The roots of equation $x^2+2x+3=0$ are
  • If the roots $px^2+qx+1=0$ are equal then
  • A quadratic equation $Ax^2+Bx+C=0$ becomes a linear equation if

Applications of Quadratic Equations

Quadratic equations have various applications in many fields, including:

  • Projectile motion
  • Circuit analysis
  • Optimization problems

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Theory of Quadratic Equation MCQS Class 10 3

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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.

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Theory of Quadratic Equation MCQs Class 10 mathematics with Answers

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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MCQs Theory of Quadratic Equation class 10 2

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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 Punjab Board

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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MCQs Theory of Quadratic Equations 1

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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 Class 10 Mathematics

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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