Mathematics Part1

Online MCQs about First Year Mathematics Part1 and Part2, Intermediate Mathematics Part1 multiple choice questions with answers

MCQs Matrices and Determinants Questions 4

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Online Multiple-Choice Questions from Chapter 3 of First Year Mathematics (Intermediate Part-I). The Matrices and Determinants Questions test contains 20 MCQ-type questions with Answers. Let us start with the Matrices and Determinant Questions Quiz.

Online Multiple Choice Questions Chapter 3 from First Year Mathematics

1. For any non-singular matrix $A$, it is true that

 
 
 
 

2. The multiplicative inverse of a matrix exists only if it is

 
 
 
 

3. A square matrix $A$ is symmetric if

 
 
 
 

4. For any non-singular matrix $A$, it is true that

 
 
 
 

5. The main diagonal elements of a skew-symmetric matrix must be

 
 
 
 

6. Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. The cofactor of $a_{ij}$ is equal to

 
 
 
 

7. For any square matrix $A$, $|A|$ is equal to

 
 
 
 

8. A square matrix $A$ is skew Hermitian if

 
 
 
 

9. A triangular matrix is always a

 
 
 
 

10. If all entries of a square matrix of order 3 are multiplied by $k$ then the value of $|kA|$ is equal to

 
 
 
 

11. For any square matrix $A$. It is always true that

 
 
 
 

12. A square matrix $A=[a_{ij}]$ for which all $a_{ij}=0$, $i>j$ then $A$ is called

 
 
 
 

13. A square matrix $A$ is Hermitian if

 
 
 
 

14. For any non-singular matrices $A$ and $B$, it is true that

 
 
 
 

15. Any square matrix $A$ is called a singular if

 
 
 
 

16. Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. Then minor of $a_{ij}$ is equal to

 
 
 
 

17. A square matrix $A=[a_{ij}]$ for which all $a_{ij} = 0$, $i<j$ then $A$ is called

 
 
 
 

18. a square matrix $A$ is skew symmetric if

 
 
 
 

19. In echelon form of a matrix, the first non-zero entry is called

 
 
 
 

20. The additive inverse of a matrix exists only if it is

 
 
 
 

Matrices and Determinants Questions Test with Answers

matrices and Determinants Questions quiz First year Mathematics
  • Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. Then minor of $a_{ij}$ is equal to
  • Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. The cofactor of $a_{ij}$ is equal to
  • For any square matrix $A$. It is always true that
  • For any square matrix $A$, $|A|$ is equal to
  • If all entries of a square matrix of order 3 are multiplied by $k$ then the value of $|kA|$ is equal to
  • For any non-singular matrix $A$, it is true that
  • For any non-singular matrix $A$, it is true that
  • For any non-singular matrices $A$ and $B$, it is true that
  • A square matrix $A=[a_{ij}]$ for which all $a_{ij}=0$, $i>j$ then $A$ is called
  • A square matrix $A=[a_{ij}]$ for which all $a_{ij} = 0$, $i<j$ then $A$ is called
  • A triangular matrix is always a
  • Any square matrix $A$ is called a singular if
  • A square matrix $A$ is symmetric if
  • a square matrix $A$ is skew symmetric if
  • A square matrix $A$ is Hermitian if
  • A square matrix $A$ is skew Hermitian if
  • The main diagonal elements of a skew-symmetric matrix must be
  • In echelon form of a matrix, the first non-zero entry is called
  • The additive inverse of a matrix exists only if it is
  • The multiplicative inverse of a matrix exists only if it is

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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”.

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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 MCQs Quadratic Equations

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