# 12th HSC Question Bank 2021 Mathematics and Statistics (Arts and Science) by Maharashtra State Board with Solutions

## SCERT Maharashtra Question Bank Solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 Chapterwise List - Free

The answers for the SCERT Maharashtra Question Bank books are the best study material for students. These SCERT Maharashtra Question Bank Solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021 will help students understand the concepts better.

## 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021

Author: Scert Maharashtra Question Bank
Publisher: Maharashtra State Bureau of Textbook Production and Curriculum Research
Language: English

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## Chapters covered in SCERT Maharashtra Question Bank Solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.1: 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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.1: Mathematical Logic exercises

ExerciseNo. of questionsPages
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.2: Matrics solutions

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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.2: Matrics exercises

ExerciseNo. of questionsPages
MCQ15 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.3: Trigonometric Functions solutions

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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.3: Trigonometric Functions exercises

ExerciseNo. of questionsPages
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.4: Pair of Lines solutions

Concepts covered in Pair of 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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.4: Pair of Lines exercises

ExerciseNo. of questionsPages
MCQ8 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.5: Vectors and Three Dimensional Geometry solutions

Concepts covered in Vectors and Three Dimensional Geometry 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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.5: Vectors and Three Dimensional Geometry exercises

ExerciseNo. of questionsPages
MCQ13 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.6: 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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.6: Line and Plane exercises

ExerciseNo. of questionsPages
Multiple choice questions9 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.7: Linear Programming Problems solutions

Concepts covered in Linear Programming Problems 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

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 1.7: Linear Programming Problems exercises

ExerciseNo. of questionsPages
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.1: Differentiation solutions

Concepts covered in Differentiation are Derivatives of Composite Functions - Chain Rule, Derivatives of Implicit Functions, Derivatives of Inverse Functions, Derivatives of Parametric Functions, Differentiation, Geometrical Meaning of Derivative, Higher Order Derivatives, Logarithmic Differentiation

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.1: Differentiation exercises

ExerciseNo. of questionsPages
MCQ11 -
:: Theorems ::3 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.2: Applications of Derivatives solutions

Concepts covered in Applications of Derivatives are Applications of Derivatives in Geometry, Approximations, Derivatives as a Rate Measure, Increasing and Decreasing Functions, Lagrange's Mean Value Theorem (Lmvt), Maxima and Minima, Rolle's Theorem

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.2: Applications of Derivatives exercises

ExerciseNo. of questionsPages
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.3: Indefinite Integration solutions

Concepts covered in Indefinite Integration are Indefinite Integration, Methods of Integration: Integration by Parts, Methods of Integration: Integration by Substitution, Methods of Integration: Integration Using Partial Fractions

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.3: Indefinite Integration exercises

ExerciseNo. of questionsPages
MCQ15 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.4: Definite Integration solutions

Concepts covered in Definite Integration are Definite Integral as Limit of Sum, Fundamental Theorem of Integral Calculus, Methods of Evaluation and Properties of Definite Integral

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.4: Definite Integration exercises

ExerciseNo. of questionsPages
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.5: Application of Definite Integration solutions

Concepts covered in Application of Definite Integration are Application of Definite Integration, Area Between Two Curves, Area Bounded by the Curve, Axis and Line

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.5: Application of Definite Integration exercises

ExerciseNo. of questionsPages
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.6: Differential Equations solutions

Concepts covered in Differential Equations are Application of Differential Equations, Differential Equations, Formation of Differential Equations, Homogeneous Differential Equations, Linear Differential Equations, Order and Degree of a Differential Equation

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.6: Differential Equations exercises

ExerciseNo. of questionsPages
Attempt the following questions I4 -
Attempt the following questions II10 -
Attempt the following questions III10 -
MCQ10 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.7: Probability Distributions solutions

Concepts covered in Probability Distributions are Probability Distribution of a Continuous Random Variable, Probability Distribution of Discrete Random Variables, Random Variables and Its Probability Distributions, Types of Random Variables, Variance of a Random Variable

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.7: Probability Distributions exercises

ExerciseNo. of questionsPages
MCQ11 -

### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.8: Binomial Distribution solutions

Concepts covered in Binomial Distribution are Bernoulli Trial, Bernoulli Trials and Binomial Distribution, Binomial Distribution, Mean of Binomial Distribution (P.M.F.), Variance of Binomial Distribution (P.M.F.)

#### SCERT Maharashtra Question Bank 12th Board Exam Mathematics and Statistics Chapter 2.8: Binomial Distribution exercises

ExerciseNo. of questionsPages
MCQ5 -

This page has Solved Question Bank for 12th HSC 2021 for the subject of Mathematics and Statistics (Arts and Science). This Question Bank is provided by Maharashtra State Board.

## SCERT Maharashtra Question Bank Solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2021

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