Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

MCQs Matrices and Determinants Questions 4

by

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. A square matrix $A$ is skew Hermitian if

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. A square matrix $A$ is symmetric if

 
 
 
 

5. A triangular matrix is always a

 
 
 
 

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

 
 
 
 

7. A square matrix $A$ is Hermitian if

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

19. 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

 
 
 
 

20. 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

 
 
 
 

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

https://itfeature.com

https://rfaqs.com

Important MCQs Variations Class 10 – 1

by

The post is about Multiple Choice Questions about Variations Class 10 from Chapter 3. There are 20 MCQs from Class 10 mathematics Chapter 3. Let us start with the quiz.

Please go to Important MCQs Variations Class 10 – 1 to view the test

MCQs Variations Class 10 Mathematics

  • In a ratio $a:b$, $a$ is called
  • In a ratio $x:y$, $y$ is called
  • In a proportion $a:b::c:d$, $a$ and $d$ are called
  • In a proportion $a:b::c:d$, $b$ and $c$ are called
  • In continued proportion $a:b=b:c$, $ac=b^2$, $b$ is said to be ——— proportional.
  • In continued proportion $a:b=b:c$, $c$ is said to be —— proportional to $a$ and $b$.
  • Find $x$ in proportion $4:x::5:15$
  • If $u \propto v^2$ then
  • If $y^2 \propto \frac{1}{x^3}$ then
  • If $\frac{u}{v} = \frac{v}{2}=k$ then
  • The third proportional of $x^2$ and $y^2$ is
  • The fourth proportional $w$ of $x:y::v:w$ is
  • If $a:b=x:y$ then alternate is
  • If $a:b=x:y$ then inverted property is
  • If $\frac{a}{b}=\frac{c}{d}$ then components property is
  • The simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2)}{x^3-y^3}$ is
  • Newton’s law of Gravitation is an example of
  • the relation between radius and circumference of a circle is an example of
  • If $\frac{24}{7}=\frac{6}{x}$ then $4x=$ ———.
  • If $\frac{5a}{3x} = \frac{15b}{y}$ then $ay=$ ———-.
Chapter 3 Mathematics Variations Class 10 with Answers

https://gmstat.com

https://rfaqs.com

https://itfeature.com

MCQs Quadratic Equations Questions 3

by

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”.

Please go to MCQs Quadratic Equations Questions 3 to view the test

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

https://itfeature.com

https://rfaqs.com