Grade 12 Math Ch - 1 to 4

 Grade 12

Math

Textbook

πŸ“•Special​ Guide BookπŸ“•

Chapter 1

Complex Numbers 

1.1 Pure Imaginary Unit i (Pg. 1)

Exercise 1.1
No. 1 (d) (Pg. 3)

Exercise 1.1
No.2 (Pg. 3)

1.2 Complex Number (x, y) (Pg. 3)

Chapter 1
Example 3 (Pg. 5)

Exercise 1.3
No. 1 (Pg. 7)

Exercise 1.3
No. 2 (Pg. 7)

1.4 Trigonometric Form (Pg. 8)

Product in Trigonometric Form 
(Pg. 11)

Inverse and Example 7 (Pg. 13)

Example 8 (Pg. 14)
Complex Number and Division


Example 9, (Pg. 15)

Exercise 1.4
No.1 (Pg. 16)

Exercise 1.4
No.2 (a) (b) (c) (Pg. 16)

Exercise 1.4
No.2 (d) (e), No. 3 (a) (b) (Pg. 16)

Roots of Complex Numbers (Pg. 16)
Example 10

Example 11 (Pg. 18)
(Root of Complex Numbers)

Exercise 1.5
No.1 (a) (b) (Pg.19)

Exercise 1.5
No.1(c) (d) (Pg. 19)

Exercise 1.5
No.1(e) (f) (Pg. 19)


Exercise 1.5
No.2 (a) (b) (Pg. 19)

Exercise 1.5
No.2 (c) (d) (e) (f) (Pg. 19)

Exercise 1.5
No.3 (a) (Pg. 19)

Exercise 1.5
No.3 (b) (Pg. 19)

Exercise 1.5
No.3 (c) (d) (Pg. 19)

Chapter 2
Mathematical Induction (Pg. 20)

Chapter 2
Example 2 (Pg. 24)

Chapter 2
Example 3 (Pg. 25)

Chapter 2
Example 4 (Pg. 26)

Chapter 2
Example 5

Chapter 2
Example 6 (Pg. 28)

Chapter 2
Example 7 (Pg. 28)

Exercise 2.1 
No. 1 (a) (Pg. 29)

Exercise 2.1 
No. 1 (b) (Pg. 29)

Exercise 2.1 
No. 1 (c) (d) (Pg. 29)

Exercise 2.1
No. 1 (e) (f) (Pg. 29)

Exercise 2.1
No. 1 (g) (Pg. 30)

Exercise 2.1
No.2 (Pg. 30)

Exercise 2.1
No.3 (Pg. 30)

Exercise 2.1
No.4 (Pg. 30)

Exercise 2.1
No.5 (Pg. 30)

Exercise 2.1
No.6 (Pg. 30)

Exercise 2.1
No.7 (Pg. 30)

Chapter 3
Analytical Solid Geometry Part 1 (Pg. 31)

Chapter 3
Analytical Solid Geometry Part 2
3.2 Line (Pg. 34)

Exercise (3.1)
No. 1,2,3 (Pg. 34)

Exercise (3.1)
No. 4,5 (Pg. 34)

Chapter 3
Example 3 (Pg. 35)

Chapter 3
Example 4 (Pg. 37)

Exercise 3.2
No.1 (Pg. 38)

Exercise 3.2
No.2 (Pg. 38)

Exercise 3.2
No.3 (Pg. 38)

Exercise 3.2
No.4 (Pg. 38)


3.3 Parallel, Skew and Perpendicular Lines (Pg. 38)

Chapter 3 
Example 5 (Pg.40)

Chapter 3 
Example 6 (Pg.40)

Chapter 3 
Example 7 (Pg.41)

Exercise 3.3
No.1 (Pg. 42)

Exercise 3.3
No.2 a,b (Pg. 42)

Exercise 3.3
No.2 c, d (Pg. 42)

Exercise 3.3
No.3 (Pg. 42)

3.4 Plane (Pg. 43)

Chapter 3
The equation of Plane
Example 8 (Pg. 44)

Chapter 3
The equation of Plane
Example 9 (Pg. 44)

Chapter 3
The equation of Plane
Example 10 (Pg. 45)

Exercise 3.4
No.1 (Pg. 46)

Exercise 3.4
No. 2 & 3 (Pg. 46)

Chapter 3
3.5 Sphere (Pg. 46)

Chapter 3
Example 11 (Pg. 47)

Chapter 3
Example 12 (Pg. 47)

Exercise 3.5
No.1 & 2 (Pg. 50)

Exercise 3.5
No.3 (Pg. 50)

Exercise 3.5
No.4 (Pg. 50)

Exercise 3.5
No.5 (Pg. 50)

Exercise 3.5
No.6 (Pg. 50)

Chapter 4
Vector Algebra 
Notes: Triangle and Parallelogram Rules (Pg. 51)

Chapter 4
Notes - Position Vector, 
Section and Midpoint Formula

Chapter 4
4.1 Vector in Three Dimentions 
(Pg. 51) & Example 2

Chapter 4
Example 3 (Pg. 54)

Chapter 4
Parallel Vectors
Example 4 (Pg. 54)

Chapter 4
Example 5 (Pg. 55)

Exercise 4.1
No.2 (Pg. 57)

Exercise 4.1
No.3 (Pg. 57)

Exercise 4.1
No.4 (Pg. 57)

Chapter 4
Collinear Points (Pg. 56)
Exercise 4.1
No.5 (57)

Chapter 4
Unit Vector (Pg. 55)
Example 6

4.2 Angel between two Vectors and Scalars Product (Pg. 57)
Example. 8

Chapter 4
Example 9 (Pg. 58)

Algebraic Properties of Scalar Product (Pg. 58)
And 
Geometric Properties of the Scalar Product (Pg. 59)
Example 10

Example 11 (Pg. 59)

Exercise 4.2
No.1 (Pg. 60)

Exercise 4.2
No.2 & 3 (Pg. 60)

Exercise 4.2
No. 4 (Pg. 61)

Exercise 4.2
No. 5 & 6 (Pg. 61)

4.3 Area of Parallelogram ab
and Vector Product (Pg. 61)

Chapter 4
Example 12 & 13 (Pg. 62)

Chapter 4
Algebraic and Geometric Properties of Vector Product, Example 14 (Pg.63) 


Chapter 4
Example 15 (Pg. 64)

Exercise 4.3
No.1 & 2 (Pg. 64)

Exercise 4.3
No.3 & 4 (Pg. 64)

Exercise 4.3
No.5 (Pg. 64)

4.4 Line and Plane in Space (Pg. 65)
Lines in Three Dimensions

Chapter 4
Example 16 & 17 (Pg. 66)

Chapter 4
Plane in Three Dimensions (Pg. 67)
Example 18 & 19 (Pg. 68)

Chapter 4
Plane in Three Dimensions - Part 2 (Pg. 67)
Example 20 (Pg. 69)

Chapter 4
Example 22 (Pg. 70)
Cartesian Equation of the Plane

Exercise (4.4)
No.1 & 2 (Pg. 71)

Exercise (4.4)
No. 3 a & b (Pg. 71)

Exercise 4.4
No.3 (c) (Pg. 71) (Not match) 

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