====== Question 6, Exercise 1.1 ======
Solutions of Question 6 of Exercise 1.1 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 6(i)====
Find the conjugate of the complex number $4-3 i$.

**Solution.**

Given: $z=4-3 i$, then $\bar{z}=4+3i$.

 ====Question 6(ii)====
Find the conjugate of the complex number $3 i+8$.

**Solution.** 

Do Yourself

====Question 6(iii)====
Find the conjugate of the complex number $2+\sqrt{\dfrac{-1}{5}}$.

**Solution.** 

Given: \begin{align}z=&2+\sqrt{\dfrac{-1}{5}}\\
=&2+\sqrt{\dfrac{1}{5}}i,\end{align}
Then $$\bar{z}=2-\sqrt{\dfrac{1}{5}}i$$

====Question 6(iv)====
Find the conjugate of the complex number $\dfrac{5 }{2}i-\dfrac{7}{8}$.

**Solution.** 

Given: $z=\dfrac{5 }{2}i-\dfrac{7}{8},$ then $\bar{z}=-\dfrac{5 }{2}i-\dfrac{7}{8}$.

GOOD

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