Category: Intermediate Part-I

MCQs about Intermediate Mathematics Part-1

MCQs Number System – 4MCQs Number System – 4

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

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


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


3. The modulus of $z$ is


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


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


6. 0.1428571428571…. is


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


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


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


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


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


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


13. If $z$ is a real number then


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


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


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


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


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


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


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


MCQs Number System 3MCQs Number System 3

The Quiz is about the 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

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Sequence and Series-2Sequence 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, the 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