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- Question 5, Exercise 1.3
- TBB) Peshawar, Pakistan. =====Question 5(i)===== Find the solutions of the equation ${{z}^{2}}+z+3=0$. ... \dfrac{\sqrt{11}}{2}i$. =====Question 5(ii)===== Find the solutions of the equation ${{z}^{2}}-1=z$.\\ ... frac{1\pm\sqrt{5}}{2}$. =====Question 5(iii)===== Find the solutions of the equation ${{z}^{2}}-2z+i=0$\... s are $1\pm\sqrt{1-i}$. =====Question 5(iv)===== Find the solutions of the equation ${{z}^{2}}+4=0$\\ =
- Question 6, Exercise 1.3
- TBB) Peshawar, Pakistan. =====Question 6(i)===== Find the solutions of the equation ${{z}^{4}}+{{z}^{2}... \dfrac{\sqrt{3}}{2}i$$ =====Question 6(ii)===== Find the solutions of the equation ${{z}^{3}}=-8$. ===... he required equations. =====Question 6(iii)===== Find the solutions of the equation ${{\left( z-1 \righ... \dfrac{\sqrt{3}i}{2}$. =====Question 6(iv)===== Find the solutions of the equation ${{z}^{3}}=1$. \\ =
- Question 6, 7 & 8, Review Exercise 1
- KPTBB) Peshawar, Pakistan. =====Question 6===== Find conjugate of $\dfrac{1}{3+4i}$.\\ ====Solution===... ac{3}{25}+\dfrac{4}{25}i.$$ =====Question 7===== Find the multiplicative inverse of $\dfrac{3i+2}{3-2i}... of $\dfrac{3i+2}{3-2i}=-i$ =====Question 8===== Find the quadrative equation $z+\dfrac{2}{z}=2.$\\ ===
- Question 11, Exercise 1.1
- (i)===== Let ${{z}_{1}}=2-i$, ${{z}_{2}}=-2+i$. Find ${\rm Re}\left( \dfrac{{{z}_{1}}{{z}_{2}}}{\overl... {5}.$$ =====Question 11(ii)===== Let $z_1=2-i$. Find ${\rm Im}\left( \dfrac{1}{{{z}_{1}}\overline{{{z}
- Question 3 & 4, Exercise 1.2
- .S.&=R.H.S.\end{align} =====Question 4(i)===== Find the additive and multiplicative inverse of the co... }{29}-\dfrac{2}{29}i$. =====Question 4(ii)===== Find the additive and multiplicative inverse of the co
- Question 4 & 5, Review Exercise 1
- stion 4===== If ${{z}_{1}}=2-i$, ${{z}_{2}}=1+i,$ find $\left|\dfrac{{{z}_{1}}+{{z}_{2}}+1}{{{z}_{1}}-{{... }\\ &=\sqrt{2}\end{align} =====Question 5===== Find the modulus of $\dfrac{1+i}{1-i}-\dfrac{1-i}{1+i}
- Question 9 & 10, Exercise 1.1
- r KPTBB) Peshawar, Pakistan. =====Question 9===== Find the conjugate of $\dfrac{\left( 3-2i \right)\le