# Category: Intermediate Part-I

## MCQs Number System 3

The Quiz is about Number System from Mathematics of Intermediate Part-I (First Year).

MCQs about the number system for the preparation of mathematics. MCQs about mathematics for intermediate students with questions and answers.

1. $(0, 1)^2$ is equal to

2. The additive inverse of $(a, -b)$ is

3. (0, 3) (0, 5) is equal to

4. (0, 1) is equal to

5. $(0, 1)^4$ is equal to

6. $(-1)^{-\frac{21}{2}}$ is equal to

7. The multiplicative identity of a complex number is

8. If $k$ is any real number and $a+ib$ is a complex number then

9. If $z$ is any real number then its conjugate is

10. $(-i)^{19}$ is equal to

11. The additive identity in set of complex number is

12. The real part of $\frac{2+i}{i}$ is equal to

13. The multiplicative inverse of $(a, -b)$ is

14. The sum of two conjugate complex numbers is

15. If $a+ib$ is a complex number then its conjugate is

16. If $a+ib$ is complex number then its conjugate is

17. $(0, 1)^3$ is equal to

18. The factors of $3(x^2+y^2)$ are

19. The multiplicative inverse of $(-4, 7)$ is

20. The product of two conjugate complex numbers is

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First-year pre-engineering mathematics multiple choice questions online examination. MCQSa bout Quadratic equation-1 online examination. MCQs about two-degree equations,

## Matrices and Determinants

Please go to Matrices and Determinants to view the test

## Sequence and Series-2

This post is about an Online Quiz of sequence and series:

A sequence is an ordered set of numbers formed according to some definite rule.

Please go to Sequence and Series-2 to view the test

A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, sequence is denoted by $\{a_n\}$ where $n\in N$.

Let us try an Online Quiz about sequence and series:

Some examples of sequence are:

• $1,2,3,\cdots$
• $2, 4, 6, 8, \cdots$
• $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real numbers then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is an infinite sequence. An infinite sequence has no last term.

If the terms of a sequence follow a certain pattern, then it is called a progression:

• Arithmetic Progression (AP)
A sequence $\{a_n\}$ is an Arithmetic Sequence or Arithmetic Progression if the difference $a_n – a_{n-1}$ is the same for all $n \in N$ and $n>1$.
• Geometric Progression (GP)
A sequence $\{a_n\}$ in which $\frac{a_n}{a_{n-1}}$ is same non-zero number for al l$n\in N$ and $n>1$ is called Geometric Sequence or Geometric Progression.
• Harmonic Progression (HP)
A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is $\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where $a_n=\frac{1}{a_1+(n-1)d}$

## Sequence and Series-1

This post is about an Online Quiz of sequence and series:

A sequence is an ordered set of numbers formed according to some definite rule.

Please go to Sequence and Series-1 to view the test

A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, sequence is denoted by $\{a_n\}$ where $n\in N$.

Let us try an Online Quiz about sequence and series:

Some examples of sequence are:

• $1,2,3,\cdots$
• $2, 4, 6, 8, \cdots$
• $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real numbers then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is an infinite sequence. An infinite sequence has no last term.

If the terms of a sequence follow a certain pattern, then it is called a progression:

• Arithmetic Progression (AP)
A sequence $\{a_n\}$ is an Arithmetic Sequence or Arithmetic Progression if the difference $a_n – a_{n-1}$ is the same for all $n \in N$ and $n>1$.
• Geometric Progression (GP)
A sequence $\{a_n\}$ in which $\frac{a_n}{a_{n-1}}$ is same non-zero number for al l$n\in N$ and $n>1$ is called Geometric Sequence or Geometric Progression.
• Harmonic Progression (HP)
A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is $\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where $a_n=\frac{1}{a_1+(n-1)d}$