====== Question 1, Review Exercise ======
Solutions of Question 1 of Review Exercise of Unit 01: Complex Numbers. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan. 

===== Question 1 =====
 Chose the correct option.

i.     Every real number is also a number. 
    * (a) natural  
    * (b) integer
    * %%(c)%% complex
    * (d) rational \\ <btn type="link" collapse="a1">See Answer</btn><collapse id="a1" collapsed="true">%%(c)%%: complex</collapse>
	
ii. Every complex number has $\operatorname{part}(\mathrm{s})$.  
    * (a) one  
    * (b) two
    * %%(c)%% three 
    * (d) no  \\ <btn type="link" collapse="a2">See Answer</btn><collapse id="a2" collapsed="true">(b): two</collapse>

iii. Magnitude of a complex number $z$ is the distance of $z$ from  
    * (a) $(0,0)$ 
    * (b)$(1,0)$
    * %%(c)%% $(0,1)$
    * (d) $(1,1)$  \\ <btn type="link" collapse="a3">See Answer</btn><collapse id="a3" collapsed="true">(a): $(0,0)$</collapse>
 
iv. If $z$ is a complex number then its mirror image is  
    * (a) $|z|$ 
    * (b) $1 / z$
    * %%(c)%% $-z$
    * (d) $\bar{z}$ \\ <btn type="link" collapse="a4">See Answer</btn><collapse id="a4" collapsed="true">(d): $\bar{z}$ </collapse>

v. In complex plane imaginary part is drawn along   
    * (a) $x$-axis 
    * (b) $y$-axis 
    * %%(c)%% origin
    * (d) $x y$-plane \\ <btn type="link" collapse="a5">See Answer</btn><collapse id="a5" collapsed="true">(b): $y$-axis</collapse>

vi. If $z_{1}=3+2 i$ and $z_{2}=5+6 i$ then   
    * (a) $z_{1}>z_{2}$  
    * (b) $z_{1}<z_{2}$ 
    * %%(c)%% $\overline{z_{1}}=\overline{z_{2}}$ 
    * (d) $\overline{z_{1}}=-\overline{z_{2}}$ \\ <btn type="link" collapse="a6">See Answer</btn><collapse id="a6" collapsed="true">(d): $\overline{z_{1}}=-\overline{z_{2}}$</collapse>

vii. Diagram representing a complex number is called diagram. 
    * (a) vector  
    * (b) Venn
    * %%(c)%% argand 
    * (d) ordered pair \\ <btn type="link" collapse="a7">See Answer</btn><collapse id="a7" collapsed="true">%%(c)%%: argand</collapse>

viii. If $\mathrm{z}=3+4 i$ then $\mathrm{z}^{-1}$ is 
    * (a) $\left(\frac{1}{3}, \frac{1}{4}\right)$  
    * (b) $\left(-\frac{1}{3},-\frac{1}{4}\right)$
    * %%(c)%% $\left(\frac{3}{25}, \frac{-4}{25}\right)$ 
    * (d) $\left(\frac{3}{25}, \frac{-4}{25}\right)$ \\ <btn type="link" collapse="a8">See Answer</btn><collapse id="a8" collapsed="true">%%(d)%%: $\left(\frac{3}{25}, \frac{-4}{25}\right)$</collapse>

ix. The value of $(\sqrt{-25})(\sqrt{-4})$ is  
    * (a) $10$  
    * (b) $-10$
    * %%(c)%% $10 i$
    * (d) $-10 i$ \\ <btn type="link" collapse="a9">See Answer</btn><collapse id="a9" collapsed="true">%%(b)%%: $-10$</collapse>

x.  If $\left(\frac{1+i}{1-i}\right)^{n}=1$ then least positive value of $n$ is  
    * (a) $1$  
    * (b) $2$
    * %%(c)%% $3$ 
    * (d) $4$ \\ <btn type="link" collapse="a10">See Answer</btn><collapse id="a10" collapsed="true">%%(b)%%: $2$</collapse


====Go to ====

<text align="right"><btn type="success">[[math-11-nbf:sol:unit01:Re-ex-p2|Question 2 >]]</btn></text>