# MCQs Quadratic Equations Questions 3

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

2. A quadratic equation is also called

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

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

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

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

7. The fourth roots of unity are

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

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

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

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

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

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

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

15. The graph of a quadratic equation is

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

17. To solve $ax^2Â + bx+c=0$ where $a, b,c \in R and$a\ne 0$, we can use 18. The synthetic division is a process of 19. If$p$and$q$are the roots of$8x^2-3x-16=0$then$pq$is equal to 20. For any$n\in Z, $\omega^n$ is equivalent to one of

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

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

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

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

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

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

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

28. The degree of a quadratic equation is

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

• 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 $ax^2Â + bx+c=0$ 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

Quadratic equations have various applications in many fields, including:

• Projectile motion
• Circuit analysis
• Optimization problems

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