====== MCQs: Math 11 NBF ======
<lead>Multiple Choice Questions (MCQs) of the Model Textbook of Mathematics for Class XI is published by National Book Foundation (NBF), Islamabad, Pakistan. NBF can be considered as Federal Textbook Board Islamabad. </lead>

===== Unit 01: Complex Numbers =====
 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 $\left(\dfrac{1+i}{1-i}\right)^{n}=1$ 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>


{{tag>FSc ICS MCQs_Math_11_NBF Math_11_NBF FBISE}}