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- Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
- ===== Unit 1: Complex Numbers (Solutions) ===== This is a first unit of the book Mathematics 11 published ... unit the students will be able to * Recall complex number $z$ represented by an expression of the fo... part of $z$. * Know condition for equality of complex numbers. * Carry out basic operations on complex numbers. * Define $\bar{z} = a —ib$ as the comple
- Question 2 & 3, Review Exercise 1 @fsc-part1-kpk:sol:unit01
- f Question 2 & 3 of Review Exercise 1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... \end{align} =====Question 3(i)===== Express the complex number $\left( 1+3i \right)+\left( 5+7i \right)$ ... i$ $=6+10i$ =====Question 3(ii)===== Express the complex number $\left( 1+3i \right)-\left( 5+7i \right)$ ... end{align} =====Question 3(iii)===== Express the complex number $\left( 1+3i \right)\left( 5+7i \right)$
- Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- ons of Question 2 & 3 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... .S.\end{align} =====Question 3(i)===== Add the complex numbers $3\left( 1+2i \right),-2\left( 1-3i \righ... 12i\end{align} =====Question 3(ii)===== Add the complex numbers $\dfrac{1}{2}-\dfrac{2}{3}i,\dfrac{1}{4}-... i\end{align} =====Question 3(iii)===== Add the complex numbers $\left( \sqrt{2},1 \right),\left( 1,\sqrt
- Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- lutions of Question 4 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... stan. =====Question 4(i)===== Subtract the second complex number from first $\left( a,0 \right)\left( 2,-b ... gn} =====Question 4(ii)===== Subtract the second complex number from first $\left( -3,\dfrac{1}{2} \right)... } =====Question 4(iii)===== Subtract the second complex number from first $3\sqrt{3}-5\sqrt{7}i,\sqrt{3}+
- Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- lutions of Question 5 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... r, Pakistan. =====Question 5(i)===== Multiply the complex number $8i+11,-7+5i$. ====Solution==== \begin{ali... end{align} =====Question 5(ii)===== Multiply the complex number $3i,2\left( 1-i \right)$. ====Solution====... nd{align} =====Question 5(iii)===== Multiply the complex number $\sqrt{2}+\sqrt{3i},2\sqrt{2}-\sqrt{3i}$.
- Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
- lutions of Question 1 of Exercise 1.3 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... ===== Solve the simultaneous linear equation with complex coefficient. \begin{align}&z-4w=3i\\ &2z+3w=11-5... ===== Solve the simultaneous linear equation with complex coefficient. \begin{align}&z+w=3i\\ &2z+3w=2\end{... ===== Solve the simultaneous linear equation with complex coefficient. \begin{align} &3z+(2+i)w=11-i\\ &(2
- Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- ons of Question 3 & 4 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... nd the additive and multiplicative inverse of the complex number $5+2i$. ====Solution==== Given $z=5+2i$. ... nd the additive and multiplicative inverse of the complex number $\left( 7,-9 \right)$. ====Solution==== Gi
- Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- lutions of Question 6 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic... istan. =====Question 6(i)===== Show that for all complex numbers ${{z}_{1}}$and ${{z}_{2}}$. Verify that $... oved. =====Question 6(ii)===== Show that for all complex numbers ${{z}_{1}}$and ${{z}_{2}}$that $\left| \d
- Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- lutions of Question 1 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic
- Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- lutions of Question 6 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic
- Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- lutions of Question 7 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic
- Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- lutions of Question 8 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic
- Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- ns of Question 9 & 10 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic
- Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- utions of Question 11 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic
- Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- lutions of Question 1 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematic