Muhammad Imdad Ullah

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

 -2

 3

 $p+q$

 2

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

 $x^2+Sx -p=0$

 $x^2-Sx – p=0$

 $x^2-Sx +p=0$

 $x^2+Sx +p=0$

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

 Quadratic equation

 Polynomial expression

 Exponential equation

 Reciprocal equation

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

 -1

 0

 $\omega$

 1

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

 Rational and Unequal

 Imaginary and Distinct

 Real and Equal

 Real and Distinct

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

 $x^2-3x+10=0$

 $x^2+3x+10=0$

 $x^2+3x-10=0$

 $x^2-3x-10=0$

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

 $1, \omega, \omega^2$

 $\omega, \omega^2$

 $1, \omega^2$

 $1, \omega$

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

 $\sqrt{b^2-4ac}$

 $b^2+4ac$

 $\sqrt{b^2+4ac}$

 $b^2-4ac$

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

 Rational and Distinct

 Real and Distinct

 Irrational and Distinct

 Imaginary and Distinct

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

 $q^2+4p=0$

 $p^2+4q=0$

 $q^2-4p=0$

 $p^2-4q=0$

11. The degree of a quadratic equation is

 2

 3

 0

 1

12. A quadratic equation is also called

 All of these

 Polynomial expression

 Radical equation

 Second degree polynomial equation

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

 $b^2>64$

 $b^2=\pm 64$

 $b^2<64$

 $b^2=64$

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

 3

 1

 4

 2

15. The graph of a quadratic equation is

 Parabola

 Square

 Circle

 Straight line

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

 $C=0$

 $A=B=C$

 $A=0$

 $B=0$

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

 Imaginary

 Rational

 Real

 Equal

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

 $\frac{-4}{3}$

 $\frac{-2}{3}$

 $\frac{4}{3}$

 $\frac{2}{3}$

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

 Rational and Distinct

 Real and Distinct

 Irrational and Distinct

 Imaginary and Distinct

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

 $b^2-4ac<0$

 $b^2-4ac\ne0$

 $b^2-4ac>0$

 $b^2-4ac=0$

21. The fourth roots of unity are

 $1, \frac{-1+i\sqrt{3}}{2}, \frac{1-i\sqrt{3}}{2}, 0$

 $0, \omega, \omega^2$

 $\pm 1, \pm i$

 1, 2, 3, 4

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

 Real

 Trivial

 Equal

 Complex

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

 Real and Distinct

 Irrational and Distinct

 Imaginary and Distinct

 Rational and Distinct

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

 Factorization

 Completing square

 Quadratic formula

 All of these

25. The synthetic division is a process of

 Addition

 Multiplication

 Subtraction

 Division

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

 $b^2-4ac\ne0$

 $b^2-4ac>0$

 $b^2-4ac<0$

 $b^2-4ac=0$

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

 $b^2 -4ac<0$

 $b^2-4ac \ne 0$

 $b^2-4ac \ge 0$

 $b^2-4ac ≤ 0$

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

 Reciprocal equation

 Exponential equation

 Quadratic equation

 All of these

 Loading …

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 $ax^2  + bx+c=0$ 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

https://itfeature.com

https://rfaqs.com