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Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
=i{{\left( -1 \right)}^{7}}\\ &=-i\end{align} ====Go to ==== <text align="left"><btn type="success">[[
Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
right)+\left( 1+\sqrt{2} \right)i\end{align} ====Go to ==== <text align="left"><btn type="primary">[
Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
{169}}\\ &=\dfrac{\sqrt{65}}{13}\end{align} ==== Go to==== <text align="left"><btn type="primary">[[f
Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
\\ &=\dfrac{6}{25}+\dfrac{8i}{25}\end{align} ====Go to==== <text align="left"><btn type="primary">[[f
Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
\ &=-\left( 2i-2 \right)\\ &=2-2i\end{align} ====Go to==== <text align="left"><btn type="primary">[[f
Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
left(\dfrac{1}{z_1\overline{z_1}}\right)=0.$$ ====Go to==== <text align="left"><btn type="primary">[[f
Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
} From (1) and (2), we get required result. === Go to=== <text align="right"><btn type="success">[[f
Question 2, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
rom (3) and (4), we get the required result. ==== Go To ==== <text align="left"><btn type="primary">[[
Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
(7,-9)$ is $\dfrac{7}{130}+\dfrac{9}{130}i$. ==== Go To ==== <text align="left"><btn type="primary">[[
Question 5, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
overline{{{z}_{1}}}}{\overline{{{z}_{2}}}}.$$ ====Go to==== <text align="left"><btn type="primary">[[f
Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
{{z}_{2}}|}{|{{z}_{2}}|}=R.H.S.\end{align} ==== Go To ==== <text align="left"><btn type="primary">[[
Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
{169}$\\ Imaginary part $=\dfrac{308}{169}$ ==== Go To ==== <text align="left"><btn type="primary">[[
Question 8, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
(2).} \end{align} This was required. ==== Go To ==== <text align="left"><btn type="primary">[[
Question 9, Exercise 1.2 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
s &-|z|\leq {\rm Im}(z) \leq |z| \end{align} ==== Go To ==== <text align="left"><btn type="primary">[[
Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
-2i\end{align} Hence $$z=1, \quad w=3-2i.$$ ====Go to ==== <text align="left"><btn type="success">[[
Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 1, Review Exercise 1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 2 & 3, Review Exercise 1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 4 & 5, Review Exercise 1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 6, 7 & 8, Review Exercise 1 @fsc-part1-kpk:sol:unit01
1 Hits, Last modified: 5 months ago
Question 2, Exercise 10.1 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 8, Exercise 10.1 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 3, Exercise 10.3 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 5, Exercise 10.3 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 1, Review Exercise 10 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 2 and 3, Review Exercise 10 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 4 & 5, Review Exercise 10 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 6 & 7, Review Exercise 10 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago
Question 8 & 9, Review Exercise 10 @fsc-part1-kpk:sol:unit10
1 Hits, Last modified: 5 months ago