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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... e students will be able to * Recall complex number $z$ represented by an expression of the form $z=a... or of the form $(a,b)$ where $a$ and $b$ are real numbers and $i=\sqrt{-1}$. * Recognize $a$ as real p... $z$. * Know condition for equality of complex numbers. * Carry out basic operations on complex num
- Multiple Choice Questions (MCQs)
- \neq 0$ * (C) $a=b=0$ * (D) $b=$ any real number * An open sentence formed by using a sign of '=... rem </col> <col sm="6"> * An arrangement of the number according to some definite rule is called * (... \neq 0$ * (C) $a=b=0$ * (D) $b=$ any real number * $n!=n(n-1)(n-2)...3\cdot 2\cdot 1$ defined o... positive integer * (B) integer * (C) real number * (D) whole number * If the angle of rotat
- Question 2 & 3, Review Exercise 1 @fsc-part1-kpk:sol:unit01
- on 2 & 3 of Review Exercise 1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... gn} =====Question 3(i)===== Express the complex number $\left( 1+3i \right)+\left( 5+7i \right)$ in the... 0i$ =====Question 3(ii)===== Express the complex number $\left( 1+3i \right)-\left( 5+7i \right)$ in the... n} =====Question 3(iii)===== Express the complex number $\left( 1+3i \right)\left( 5+7i \right)$ in the
- Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- uestion 2 & 3 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... align} =====Question 3(i)===== Add the complex numbers $3\left( 1+2i \right),-2\left( 1-3i \right)$. ==... align} =====Question 3(ii)===== Add the complex numbers $\dfrac{1}{2}-\dfrac{2}{3}i,\dfrac{1}{4}-\dfrac{... ign} =====Question 3(iii)===== Add the complex numbers $\left( \sqrt{2},1 \right),\left( 1,\sqrt{2} \ri
- Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- of Question 4 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... ===Question 4(i)===== Subtract the second complex number from first $\left( a,0 \right)\left( 2,-b \right)... ==Question 4(ii)===== Subtract the second complex number from first $\left( -3,\dfrac{1}{2} \right)\left( ... =Question 4(iii)===== Subtract the second complex number from first $3\sqrt{3}-5\sqrt{7}i,\sqrt{3}+2\sqrt{
- Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- of Question 5 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... tan. =====Question 5(i)===== Multiply the complex number $8i+11,-7+5i$. ====Solution==== \begin{align}&(8i... n} =====Question 5(ii)===== Multiply the complex number $3i,2\left( 1-i \right)$. ====Solution==== \begin... } =====Question 5(iii)===== Multiply the complex number $\sqrt{2}+\sqrt{3i},2\sqrt{2}-\sqrt{3i}$. ====Sol
- Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- uestion 3 & 4 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... dditive and multiplicative inverse of the complex number $5+2i$. ====Solution==== Given $z=5+2i$. Here $a... dditive and multiplicative inverse of the complex number $\left( 7,-9 \right)$. ====Solution==== Given $z=
- Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
- of Question 6 of Exercise 1.2 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G... =====Question 6(i)===== Show that for all complex numbers ${{z}_{1}}$and ${{z}_{2}}$. Verify that $|{{z}_{... ====Question 6(ii)===== Show that for all complex numbers ${{z}_{1}}$and ${{z}_{2}}$that $\left| \dfrac{{{
- Definitions: FSc Part1 KPK
- * **Period:** period is the smallest positive number which, when added to the original circular measur... iod of Trigonometric Function:** The smallest +ve number which when added to the original circular measure
- Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- of Question 1 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G
- Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- of Question 6 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G
- Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- of Question 7 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G
- Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- of Question 8 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G
- Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- estion 9 & 10 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G
- Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
- f Question 11 of Exercise 1.1 of Unit 01: Complex Numbers. This is unit of A Textbook of Mathematics for G