# Balbharati Solutions for Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board

## Balbharati Solutions for Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board Chapterwise List - Free

The answers for the Balbharati books are the best study material for students. These Balbharati Solutions for Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board will help students understand the concepts better.

## Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board

Author: Balbharati
Publisher: Maharashtra State Bureau of Textbook Production and Curriculum Research
Language: English

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## Chapters covered in Balbharati Solutions for Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 1: Mathematical Logic solutions

Concepts covered in Mathematical Logic are Algebra of Statements, Application of Logic to Switching Circuits, Concept of Statements, Converse, Inverse, and Contrapositive, Duality, Logical Connective, Simple and Compound Statements, Negations of Compound Statements, Quantifier and Quantified Statements in Logic, Statement Patterns and Logical Equivalence, Tautology, Contradiction, and Contingency, Truth Value of Statement

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 1: Mathematical Logic exercises

ExerciseNo. of questionsPages
Exercise 1.1416 to 8
Exercise 1.22913
Exercise 1.32917 to 18
Exercise 1.41521
Exercise 1.52129 to 30
Miscellaneous Exercise 16032 to 35

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 2: Matrics solutions

Concepts covered in Matrics are Application of Matrices, Applications of Determinants and Matrices, Elementry Transformations, Inverse of Matrix

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 2: Matrics exercises

ExerciseNo. of questionsPages
Exercise 2.1939 to 40
Exercise 2.21551 to 52
Miscellaneous exercise 2 (A)3952 to 54
Exercise 2.31059 to 60
Miscellaneous exercise 2 (B)1261 to 63
Miscellaneous exercise 2 (B)1563

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 3: Trigonometric Functions solutions

Concepts covered in Trigonometric Functions are Inverse Trigonometric Functions, Solutions of Triangle, Trigonometric Equations and Their Solutions

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 3: Trigonometric Functions exercises

ExerciseNo. of questionsPages
Exercise 3.12775
Exercise 3.22388
Exercise 3.318102 to 103
Miscellaneous exercise 321106 to 108
Miscellaneous exercise 356108 to 111

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 4: Pair of Straight Lines solutions

Concepts covered in Pair of Straight Lines are Angle between lines represented by ax2 + 2hxy + by2 = 0, Combined Equation of a Pair Lines, Equation of a Line in Space, General Second Degree Equation in x and y, Homogeneous Equation of Degree Two

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 4: Pair of Straight Lines exercises

ExerciseNo. of questionsPages
Exercise 4.125119 to 120
Exercise 4.210124
Exercise 4.315127 to 128
Miscellaneous Exercise 414129 to 130
Miscellaneous Exercise 453130 to 132

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 5: Vectors solutions

Concepts covered in Vectors are Addition of Vectors, Algebra of Vectors, Component Form of a Position Vector, Components of Vector, Coplanar Vectors, Position Vector of a Point P(X, Y, Z) in Space, Representation of Vector, Scalar Product of Vectors (Dot), Scalar Triple Product of Vectors, Section Formula, Three Dimensional (3-D) Coordinate System, Vector in Two Dimensions (2-D), Vector Joining Two Points, Vector Product of Vectors (Cross), Vectors and Their Types, Vector Triple Product

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 5: Vectors exercises

ExerciseNo. of questionsPages
Exercise 5.117151 to 152
Exercise 5.213160
Exercise 5.318169 to 170
Exercise 5.419178 to 179
Exercise 5.511183 to 184
Miscellaneous exercise 521187 to 189
Miscellaneous exercise 562190 to 193

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 6: Line and Plane solutions

Concepts covered in Line and Plane are Angle Between Planes, Coplanarity of Two Lines, Distance Between Skew Lines and Parallel Lines, Distance of a Point from a Line, Distance of a Point from a Plane, Equation of a Plane, Vector and Cartesian Equations of a Line

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 6: Line and Plane exercises

ExerciseNo. of questionsPages
Exercise 6.111200 to 201
Exercise 6.29207
Exercise 6.311216
Exercise 6.45220
Miscellaneous Exercise 6 A23207 to 209
Miscellaneous Exercise 6 B20223 to 225
Miscellaneous Exercise 6 B21225 to 226

### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 7: Linear Programming solutions

Concepts covered in Linear Programming are Graphical Method of Solving Linear Programming Problems, Linear Inequations in Two Variables, Linear Programming Problem in Management Mathematics, Linear Programming Problem (L.P.P.), Lines of Regression of X on Y and Y on X Or Equation of Line of Regression

#### Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) Chapter 7: Linear Programming exercises

ExerciseNo. of questionsPages
Exercise 7.121232 to 233
Exercise 7.28234
Exercise 7.39237 to 378
Exercise 7.48241
Miscellaneous exercise 715242 to 243
Miscellaneous exercise 722243 to 245

## Balbharati Solutions for Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board

12th Board Exam Balbharati solutions answers all the questions given in the Balbharati textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our 12th Board Exam Students. The solutions on Shaalaa will help you solve all the Balbharati 12th Board Exam Mathematics and Statistics (Arts/Science) questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

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