Category: Intermediate Part-I

MCQs about Intermediate Mathematics Part-1

MCQs Number System – 4

Muhammad Imdad Ullah
Posted by Muhammad Imdad Ullah Posted on November 5, 2022 0 Comments on MCQs Number System – 4
Posted in Intermediate Part-I, Number System

MCQs Mathematics covers the topic of the Number system for the preparation of Intermediate mathematics.

1. The geometrical plane on which coordinate system has been specified is called

 
 
 
 

2. If $z=a+ib$ then $(z^2+\overline{z}^2)$ is equal to

 
 
 
 

3. If $z$ is a real number then

 
 
 
 

4. The modulus of $z$ is

 
 
 
 

5. The modulus value of a complex number $z=x+iy$ is the distance from

 
 
 
 

6. Real part of $(x+iy)^n$ is

 
 
 
 

7. 0.1428571428571…. is

 
 
 
 

8. If $z=3-5i$ then $|z|^2$ is equal to

 
 
 
 

9. If a point $A$ of a coordinate plane corresponds to the ordered pair $(a, b)$, then $a$ and $b$ are called

 
 
 
 

10. If $|x+5i|=3$ then $x$ is equal to

 
 
 
 

11. If $z=x+iy$ then $|z|=?

 
 
 
 

12. The correct statement of De Mover’s Theorem is $(cos \theta + i\, sin\, \theta)^n$ is equal to

 
 
 
 

13. Polar form of $1+i\sqrt{3}$ is

 
 
 
 

14. Polar form of $(\sqrt{3} + i)$ is

 
 
 
 

15. Imaginary part of $(-2+3i)^2$ is equal to

 
 
 
 

16. The set $\{1, -1\}$ possesses closure property w.r.t.

 
 
 
 

17. If $z_1=2+3i$, $z_2=1-i$ then $|z_1z_2|=$

 
 
 
 

18. If $R$ is the set of real number, then product $R\times R$ is called

 
 
 
 

19. If point $A$ of the coordinate plane corresponds to the ordered pair $(a,b)$ then

 
 
 
 

20. Golden rule of fraction is that for $k\ne 0 $, $\frac{a}{b} =$

 
 
 
 

MCQs Number System 3

Muhammad Imdad Ullah
Posted by Muhammad Imdad Ullah Posted on October 27, 2021 0 Comments on MCQs Number System 3
Posted in Intermediate Part-I, Number System

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.

Please go to MCQs Number System 3 to view the test

Take another Test about Number System

Quadratic Equation-1

Muhammad Imdad Ullah
Posted by Muhammad Imdad Ullah Posted on July 12, 2021 0 Comments on Quadratic Equation-1
Posted in Intermediate Part-I, Quadratic Equation

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

Please go to Quadratic Equation-1 to view the test

Take Another Quiz: Matrices and Determinants

Matrices and Determinants

Muhammad Imdad Ullah
Posted by Muhammad Imdad Ullah Posted on July 12, 2021 0 Comments on Matrices and Determinants
Posted in Intermediate Part-I, Matrices and Determinants
Please go to Matrices and Determinants to view the test

Take Another MCQs Test: Derivatives

Sequence and Series-2

Muhammad Imdad Ullah
Posted by Muhammad Imdad Ullah Posted on July 12, 2021 0 Comments on Sequence and Series-2
Posted in Intermediate Part-I, Sequence & Series

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

An online quiz about Computer