Quadratic Equation

Online MCQs Intermediate Mathematics from Chapter 4 Quadratic Equation with Questions and Answers

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

10. The fourth roots of unity are

 
 
 
 

11. The synthetic division is a process of

 
 
 
 

12. The degree of a quadratic equation is

 
 
 
 

13. The graph of a quadratic equation is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

22. A quadratic equation is also called

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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MCQs Quadratic Equations First Year 2

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The post concerns MCQs Quadratic Equations Chapter 4 of Intermediate Mathematics the first year. There are 20 questions and each question and its options appear randomly. The quiz will help First-year (Intermediate) Pre-Engineering mathematics students prepare for the examination. Let us start with MCQs Quadratic Equations First Year Mathematics with Answers.

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MCQs Quadratic Equations with Answers

  • The complex cube roots of unity are ———– each other.
  • The complex fourth roots of unity are ——— each other.
  • If the sum of all cube roots unity is equal to $x^2+1$ then $x$ is equal to
  • If the product of all cube roots of unity is equal to $\rho^2+1$ then $p$ is
  • The complex fourth roots of unity are ———- each other.
  • The expression $a_nx^n + a_{n-1}x^{n-1}+\cdots + a_1x+a_0$. $a\ne 0$ is a polynomial of degree $n$ if $n$ is any$
  • The expression $x^2+\frac{1}{x} -3$ is
  • If $f(x)$ is divided by $x-a$ then Divided = (divisor)(—–)+Remainder.
  • If $f(x)$ is divided by $x-a$ then by remainder theorem, the remainder is
  • The polynomial ($x-a$) is a factor of $f(x)$ if and only if
  • $x-2$ is a factor of $x^2-kx +4$ if $k$ is
  • If $x=-2$ is a root of $kx^4-13x^2+36=0$ then $k=$
  • $x+a$ is a factor of $x^n+a^n$ when $n$ is
  • $x-a$ is a factor of $x^n-a^n$ if $n$ is
  • Sum of roots of $ax^2-bx-c=0$ is ($a\n-0$)
  • Product of $ax^2-bx -c=0$ is ($a\ne 0$)
  • The sum of the roots of any quadratic equation is
  • The product of roots of any quadratic equation is
  • If sum of roots of $7x^2+px+q=0$ is q then $q=$
  • If product of roots of $7x^2-px+q=0$ is 1 then $q=$
Chapter 4 Quadratic Equations

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Best Quadratic Equations Quiz

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The following is the list of online MCQs Quadratic Equations Quiz with Answers from the First-Year Mathematics Book of Intermediate Part-I. Click the links below to start with the Online MCQs Quadratic Equations Quiz.

Quadratic Equations Quiz

MCQs Quadratic Equations 1MCQs Quadratic Equations 1MCQs Quadratic Equations 1
MCQs Quadratic Equations 3MCQs Quadratic Equations 2MCQs Quadratic Equations 1

An equation of the form $ax^2 + bx + c = 0$ is called a Quadratic Equation, where $a, b,$ and $c$ are all real numbers and $a\ne0$. This generic form of Quadratic Equations is a second-degree equation in variable $x$.

Quadratic Equations Quiz

The following are some basic methods to solve a quadratic equation:

  • By Factorization
  • By Completing Square
  • By Quadratic Formula

The role of quadratic equations is important in:

  • Understanding relationships: Quadratic Equations can model relationships between variables where one quantity affects another in a squared manner, which is useful in various scientific fields.
  • Optimization problems: Maximizing profits, minimizing materials, or finding the peak of a curve – quadratic equations can help find optimal solutions in these scenarios.

In essence, quadratic equations provide a fundamental framework for dealing with squared terms and their relationship with linear terms. This foundation proves valuable across various disciplines, making quadratic equations a cornerstone of mathematical modeling and problem-solving.

MCQs Quadratic Equations Quiz with Answers

MCQs Hypothesis Testing

MCQs Quadratic Equation 1

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First-year pre-engineering mathematics multiple choice questions online examination. The quiz is about the MCQS Quadratic Equation online examination. The quiz will help First-year (Intermediate) Pre-Engineering mathematics students prepare for the examination. There are 20 questions with answers. Let us start with the Online MCQs Quadratic Equation Quiz.

Please go to MCQs Quadratic Equation 1 to view the test

An equation of the form $ax^2 + bx + c = 0$ is called a Quadratic Equation, where $a, b,$ and $c$ are all real numbers and $a\ne0$. This generic form of Quadratic Equations is a second-degree equation in variable $x$.

MCQs Quadratic Equations

MCQs Quadratic Equations with Answers

  • The equation $ax^2 + bx + 9 =0$ will be quadratic if
  • Solution set of the equation $x^2 – 4x + 4 = 0$ is
  • The quadratic formula for solving the equation $ax^2 + bx + c =0$ is $(a\ne 0)$
  • The convert $ax^{2n} + bx^n + c =0 (a\ne 0) $ into quadratic form, the correction substitution
  • The equation in which variable quantity occurs in the exponent is called
  • To convert $ 4^{1+x} + 4^{1-x} =10$ into quadratic, the substitution is
  • The equation which remains unchanged if $x$ is replaced by $\frac{1}{x}$, then it is called
  • The equations involving radical expressions of the variable are called
  • The roots that satisfy the radical free equation but not the radical equation are called
  • The cube roots of unity are
  • The cube roots of $-1$ are
  • The sum of all cube roots of 64 is
  • The product of all cube roots of $-1$ is
  • $16\omega^4 + 16 \omega^8$
  • $(-1 + \sqrt{-3})^5 + (-1 – \sqrt{-3})^5$ is equal to
  • The sum of all four fourth roots of unity is
  • The product of all four fourth roots of unity is
  • The sum of all four fourth roots is 16 is
  • The product of all four fourth roots of 81 is
  • The complex cube roots of the unit are _______ each other

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