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. A square matrix $A$ is Hermitian if

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. A triangular matrix is always a

 
 
 
 

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

 
 
 
 

16. A square matrix $A$ is symmetric if

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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”.

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

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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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Important Sets and Functions Class 11 Quiz 4

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Online MCQs about Sets and Functions Class 11 First Year Quiz with Answers. The multiple-choice questions are for chapter 2 (“Sets Functions and Groups”) of the First Year Mathematics book. Let us start with the Sets and Functions Class 11 Quiz.

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Sets and Functions Class 11 Mathematics Quiz

  • A compound proposition which is always wrong is called
  • If $p$ be proposition then $p \vee \sim p$ is
  • If $p$ be any proposition then $p\wedge \sim p$ is
  • If $\sim p \rightarrow q$ is a conditional then its converse is
  • If $\sim p \rightarrow q$ is a conditional then its inverse is
  • If $\sim p \rightarrow q$ is a conditional then its central positive is
  • If $p$ is a proposition $4<5$ is a proposition $2+5=8$ then truth value of $p \wedge q$ is If $p$ is a proposition $4<5$, $q$ is a proposition $2+5=8$ then truth value of $p \vee q$ is If $p$ is a proposition $4<5$, $q$ is a proposition $2+5>8$ then truth value of $p \rightarrow q$ is
  • If $p$ is a proposition $4<5$, $q$ is a proposition $2+5 \ne 8$ then truth value of $p\leftrightarrow q$ is
  • For the propositions $p$ and $q$, $(p \wedge q) \rightarrow p$ is
  • For the propositions $p$ and $q$, $p\rightarrow (p \vee q)$ is
  • The words or symbols which convey the idea of quantity or numbers is called
  • The symbol which is used to convey the idea of all objects under consideration is called
  • The logical form of $(A \cap B)’=A’\cup B’$ is
  • The logical form of $(A \cup B)’ = A’ \cap B’$ is
  • If $p$ and $q$ are two propositions then truth set of $p \vee q$ is
  • If $p$ and $q$ are two propositions then truth set of $p\wedge q$ is
  • If $p$ and $q$ be two propositions then truth set of $p\rightarrow q$ is
  • Truth set of $p\leftrightarrow q$ is
Sets and Functions Class 11 Quiz

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