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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

6. A quadratic equation is also called

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. The degree of a quadratic equation is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

16. The synthetic division is a process of

 
 
 
 

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

 
 
 
 

18. The fourth roots of unity are

 
 
 
 

19. The graph of a quadratic equation is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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