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