Grade 12 Basic Mathematics solutions Sukunda Pustak Bhawan Nepal

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                                       1.Algebra

Chapter 1

Permutations & Combinations.....................................

1.1 The Basic Principle of Counting...............................................
1.2 Permutations.............................................................................
1.3 Combinations of things All Different......................................

Chapter 2

Binomial Theorem.........................................................

2.1 Binominal Theorem for a Positive Integer...............................
2.2 General Term............................................................................
2.3 Binominal Coefficients..............................................................

Chapter 3

Complex Number.....................................................

3.1 Polar Form of a Complex Number....................................
3.2 Euler's formula..................................................................

Chapter 4

Sequence and Series...................................................

4.1 Sum of the finite natural numbers........................................
4.2 Sum of the square of the first n natural numbers.................

Chapter 5

Matrix based System of Linear Equations........................

5.1 System of Linear Equations.............................................................
5.2 Solutions of system of Linear Equations by Cramer's rule..............
5.3 By Row Equivalent Method.............................................................
5.4 Application pf Matrix and Determinants.........................................

                        2. Trigonometry


Chapter 6

Properties of Triangle........................................

6.1 The Sine law................................................................

Chapter 7

Solution of Triangle............................................

7.1 Solutions of Triangles..................................................

                          3. Analytic Geometry

Chapter 8

Conic Section...............................................................

8.1 Conic Section........................................................................
8.2 Circle....................................................................................
8.3 Condition of Tangency of a Straight Line to a Circle..........
8.4 Equation of the Tangent to the Circle..................................
8.5 Equation to the Normal to the Circle x^2+y^2= a^2..........

                           4. Vectors

Chapter 9

Product of Vectors.........................................

9.1 Products of Vectors................................................
9.2 Scalar product of two Vectors...............................
 

                            5. Statistics and Probability

Chapter 10

Correlation and Regression...................................

10.1 Correlation......................................................................
10.2 Nature of Correlation.....................................................
10.3 Karl Pearson's correlation coefficient............................

Chapter 11

Probability...............................................................

11.1 Introduction....................................................................

                                            

                             6. Calculus

Chapter 12

Derivatives................................................................

12.1 Derivatives......................................................................

Chapter 13

Application of Derivatives........................................

13.1 L-Hospital's Rule...............................................................
13.2 Differentials.......................................................................
13.3 Tangents and Normals......................................................
13.4 Derivative at the Rate Measure........................................

Chapter 15

Antiderivative..........................................................

14.1 Antiderivative of standard integrals...............................
14.2 Some Integrals Reducible to Standard Forms................
14.3 Integration of Rational Fractions...................................

Chapter 16

Differential Equations...........................................

15.1 Differential Equations...................................................
15.2 Differential Equation and its order and first Degree.....
15.3 Differential equation of the first order and first degree.
15.4 Differential equation with variables Separated form.....
15.5 Homogenous Equations.................................................


                            7. Computational Methods

Chapter 16

System of Linear Equations...............................................

16.1 System of linear equations............................................................
16.2 Gaussian Elimination Method......................................................

Chapter 17 

Linear Programming..........................................................

17.1 Introduction...................................................................................




























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