MCQs Number System – 4

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

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

8. If $z$ is a real number then

 
 
 
 

9. The modulus of $z$ is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

20. 0.1428571428571…. is