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

Maharashtra State Board 12th Standard Board Exam [इयत्ता १२ वी] Maths Solutions Guide

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Maharashtra State Board 12th Standard Board Exam [इयत्ता १२ वी] Maths Textbook Solutions

Questions and answers for the 12th Standard Board Exam [इयत्ता १२ वी] Maths Textbook are on this page. SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Maths Digest Maharashtra State Board will help students understand the concepts better.


SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Maths Chapterwise List | 12th Standard Board Exam [इयत्ता १२ वी] Maths Digest

The answers to the SCERT Maharashtra books are the best study material for students. Listed below are the chapter-wise SCERT Maharashtra Maths 12th Standard Board Exam [इयत्ता १२ वी] Solutions Maharashtra State Board.

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12th HSC Question Bank Mathematics and Statistics (Arts and Science) by Maharashtra State Board with Solutions - Shaalaa.com
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Chapters covered in SCERT Maharashtra Solutions for Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.1: Mathematical Logic

Concepts covered in Mathematical Logic are Algebra of Statements, Application of Logic to Switching Circuits, Converse, Inverse, and Contrapositive, Logical Connectives, Negations of Compound Statements, Overview of Mathematical Logic, Quantifier, Quantified and Duality Statements in Logic, Statements and Truth Values in Mathematical Logic, Tautology, Contradiction, and Contingency.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.1: Mathematical Logic exercises

ExerciseNo. of questionsPages
MCQ10 -
Very Short Answers6 -
Short Answers I6 -
Long Answers II12 -
Long Answers III5 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.2: Matrics

Concepts covered in Matrics are Application of Matrices, Applications of Determinants and Matrices, Elementry Transformations, Overview of Matrices, Properties of Matrix Multiplication.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.2: Matrics exercises

ExerciseNo. of questionsPages
MCQ15 -
Very Short Answer13 -
Short Answers I12 -
Short Answers II12 -
Long Answers III12 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.3: Trigonometric Functions

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

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.3: Trigonometric Functions exercises

ExerciseNo. of questionsPages
MCQ10 -
Very Short Answers10 -
Short Answers I9 -
Short Answers II8 -
Long Answers III7 -

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SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.4: Pair of Lines

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, Homogeneous Equation of Degree Two, Overview of Pair of Straight Lines.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.4: Pair of Lines exercises

ExerciseNo. of questionsPages
MCQ8 -
Very Short Answers5 -
Short Answers I4 -
Short Answers II4 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.5: Vectors and Three Dimensional Geometry

Concepts covered in Vectors and Three Dimensional Geometry are Overview of Vectors.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.5: Vectors and Three Dimensional Geometry exercises

ExerciseNo. of questionsPages
MCQ13 -
Very Short Answers10 -
Short Answers I10 -
Short Answers II11 -
Long Answers III10 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.6: Line and Plane

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

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.6: Line and Plane exercises

ExerciseNo. of questionsPages
Multiple choice questions9 -
Very Short Answers7 -
Short Answers I7 -
Short Answers II11 -
Long Answers III6 -

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SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.7: Linear Programming Problems

Concepts covered in Linear Programming Problems are 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, Methods to Solve LPP (Graphical / Corner Point Method), Overview of Linear Programming.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 1.7: Linear Programming Problems exercises

ExerciseNo. of questionsPages
MCQ10 -
Short Answers I10 -
Long Answers II10 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.1: Differentiation

Concepts covered in Differentiation are Derivative of Composite Functions, Derivative of Inverse Function, Derivatives of Implicit Functions, Derivatives of Parametric Functions, Geometrical Meaning of Derivative, Higher Order Derivatives, Introduction & Derivatives of Some Standard Functions, Logarithmic Differentiation, Overview of Differentiation.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.1: Differentiation exercises

ExerciseNo. of questionsPages
MCQ11 -
Very Short Answers5 -
Short Answers I8 -
Short Answers II10 -
Long Answers III5 -
:: Theorems ::3 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.2: Applications of Derivatives

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, Overview of Applications of Derivatives, Rolle's Theorem.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.2: Applications of Derivatives exercises

ExerciseNo. of questionsPages
MCQ10 -
Very Short Answers5 -
Short Answers I9 -
Short Answers II9 -
Long Answers III11 -

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SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.3: Indefinite Integration

Concepts covered in Indefinite Integration are Indefinite Integration with Standard Indefinite Integral Formulae, Methods of Integration> Integration by Parts, Methods of Integration> Integration by Substitution, Methods of Integration> Integration Using Partial Fraction, Overview of Indefinite Integration.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.3: Indefinite Integration exercises

ExerciseNo. of questionsPages
MCQ15 -
Very Short Answers15 -
Short Answers I15 -
Short Answers II15 -
Long Answers III15 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.4: Definite Integration

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

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.4: Definite Integration exercises

ExerciseNo. of questionsPages
MCQ10 -
Very Short Answers10 -
Short Answers I9 -
Short Answers II17 -
Long Answers III13 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.5: Application of Definite Integration

Concepts covered in Application of Definite Integration are Application of Definite Integration, Area Bounded by Two Curves, Overview of Application of Definite Integration.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.5: Application of Definite Integration exercises

ExerciseNo. of questionsPages
MCQ10 -
Very Short Answers10 -
Short Answers I6 -
Long Answers II7 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.6: Differential Equations

Concepts covered in Differential Equations are Applications of Differential Equation, Differential Equations, Formation of Differential Equations, Homogeneous Differential Equations, Linear Differential Equations, Order and Degree of a Differential Equation, Overview of Differential Equations, Solution of a Differential Equation.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.6: Differential Equations exercises

ExerciseNo. of questionsPages
MCQ10 -
Answer the following4 -
Attempt the following questions I4 -
Attempt the following questions II10 -
Attempt the following questions III10 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.7: Probability Distributions

Concepts covered in Probability Distributions are Expected Value and Variance of a Random Variable, Overview of Probability Distributions, Probability Distribution of a Continuous Random Variable, Probability Distribution of Discrete Random Variables, Random Variables, Variance of a Random Variable.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.7: Probability Distributions exercises

ExerciseNo. of questionsPages
MCQ11 -
Very Short Answers8 -
Short Answers I6 -
Short Answers II7 -
Long Answers III8 -

SCERT Maharashtra Solutions for 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.8: Binomial Distribution

Concepts covered in Binomial Distribution are Bernoulli Trial, Mean and Variance of Binomial Distribution, Overview of Binomial Distribution, Probability using Binomial Distribution.

SCERT Maharashtra 12th Standard Board Exam [इयत्ता १२ वी] Mathematics and Statistics (Commerce) 2.8: Binomial Distribution exercises

ExerciseNo. of questionsPages
MCQ5 -
Very Short Answers5 -
Short Answers I5 -
Short Answers II8 -

This page has Solved Question Bank for Class 12 HSC for the subject of Mathematics and Statistics (Arts and Science). Maharashtra State Board provides this Question Bank. 

SCERT Maharashtra Solutions for Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC

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