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ML Aggarwal Solutions for Mathematics Volume 1 and 2 [English] Class 12 ISC

CISCE ISC Class 12 Mathematics Solutions Guide

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CISCE ISC Class 12 Mathematics Textbook Solutions

Questions and answers for the ISC Class 12 Mathematics Textbook are on this page. ML Aggarwal Solutions for ISC Class 12 Mathematics Digest CISCE will help students understand the concepts better.


ML Aggarwal Solutions for ISC Class 12 Mathematics Chapterwise List | ISC Class 12 Mathematics Digest

The answers to the ML Aggarwal books are the best study material for students. Listed below are the chapter-wise ML Aggarwal Mathematics ISC Class 12 Solutions CISCE.

Chapters

  • VOLUME I
  •  • 1: Relations and Functions
  •  • 2: Inverse Trigonometric Functions
  •  • 3: Matrices
  •  • 4: Determinants
  •  • 5: Continuity and Differentiability
  •  • 6: Applications of Derivatives
  • VOLUME II
  •  • 7: Integrals
  •  • 8: Applications of Integrals
  •  • 9: Differential Equations
  •  • 10: Vector Algebra
  •  • 11: Three Dimensional Geometry
  •  • 12: Linear Programming
  •  • 13: Probability

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ML Aggarwal Solutions for Mathematics Volume 1 and 2 [English] Class 12 ISC - Shaalaa.com
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Chapters covered in ML Aggarwal Solutions for Mathematics Volume 1 and 2 [English] Class 12 ISC

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 1: Relations and Functions

Concepts covered in Relations and Functions are Composition of Functions, Concept of Function, Concept of Relations, Equivalence Class and Relation, Graph of Function, Invertible Functions, Types of Functions, Types of Relations.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 2: Inverse Trigonometric Functions

Concepts covered in Inverse Trigonometric Functions are Basics of Inverse Trigonometric Functions, Domain, Range & Principal Value, Graphs of Inverse Trigonometric Functions, Properties of Inverse Trigonometric Functions > Addition–Subtraction Formula for Inverse Sine & Cosine, Properties of Inverse Trigonometric Functions > Addition & Subtraction Formula for Inverse Tangent, Properties of Inverse Trigonometric Functions > Complementary Property, Properties of Inverse Trigonometric Functions > Conversion Property, Properties of Inverse Trigonometric Functions > Double-angle Property, Properties of Inverse Trigonometric Functions > Negative Argument Property, Properties of Inverse Trigonometric Functions > Reciprocal Property, Properties of Inverse Trigonometric Functions > Self-adjusting Property, Properties of Inverse Trigonometric Functions > Triple-angle Property.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 3: Matrices

Concepts covered in Matrices are Concept of Matrices, Equality of Matrices, Invertible Matrices, Operations on Matrices> Addition and Subtraction of Matrices, Operations on Matrices> Matrix Multiplication, Operations on Matrices>Scalar Multiplication, Positive Integral Powers of Matrices, Symmetric and Skew Symmetric Matrices, Transpose of a Matrix, Types of Matrices.

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ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 4: Determinants

Concepts covered in Determinants are Adjoint and Inverse of a Matrix, Application of Determinants to Coordinate Geometry, Concept of Determinant, Inverse of a Square Matrix, Minors and Co-factors, Properties of Determinants, Properties of Invertible Matrices, Relations between a Matrix and its Adjoint, Simplification of Determinants using Properties, Singular and Non-singular Matrix, Solution of System of Linear Equations, Theorems on Determinants.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 5: Continuity and Differentiability

Concepts covered in Continuity and Differentiability are Algebra of Continuous Functions, Basic Rules of Differentiation, Concept of Differentiability, Continuous and Discontinuous Functions, Derivative of Inverse Trigonometric Function, Derivative of Trigonometric Function, Derivatives of Composite Functions, Derivatives of Functions in Parametric Forms, Differentiation "ab initio" of Inverse Circular Functions, Differentiation by Transformation/Substitution, Differentiation of Implicit Functions, Differentiation with Respect to Another Function, Exponential and Logarithmic Functions, Higher Order Derivatives, Logarithmic Differentiation, Properties of Continuous Function, Relationship Between Continuity and Differentiability, Types of Discontinuity.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 6: Applications of Derivatives

Concepts covered in Applications of Derivatives are Application/Practical Problems on Maxima and Minima, Approximations, Increasing and Decreasing Functions, Maxima and Minima, Rate Measure, Sign of the Derivative, Tangents and Normals.

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ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 7: Integrals

Concepts covered in Integrals are Different Types of Integrals, Evaluation of Definite Integrals, Evaluation of Quadratic Equation, Fundamental Theorem of Calculus, Integrals ∫√tanx dx and ∫√cot x dx, Integration, Integration by Substitution(Change of Variable), Integration of Irrational Functions > Type 9: sin²x, cos²x Denominator Forms, Integration of Irrational Function> Type 1: Standard Radical Forms, Integration of Irrational Function> Type 2: 1 / √(Quadratic), Integration of Irrational Function> Type 3: Linear / √(Quadratic), Integration of Irrational Function> Type 4: √(a² ± x²) and ∫√(x² − a²) dx Forms, Integration of Irrational Function> Type 5: √(Quadratic), Integration of Irrational Function> Type 6: Linear × √(Quadratic), Integration of Irrational Function> Type 7: 1 / Linear Trigonometric Forms, Integration of Irrational Function> Type 8: Linear Trig / Linear Trig, Integration of the form where K is Constant, Integration Using Standard Algebraic Forms, Methods of Integration> Integration by Parts, Methods of Integration> Integration by Substitution, Methods of Integration> Integration Using Partial Fraction, Properties of Definite Integral, Properties of Indefinite Integral, Some Special Integrals, Standard Forms of Integrals.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 8: Applications of Integrals

Concepts covered in Applications of Integrals are Area Bounded by Two Curves, Area Under Simple Curves, Geometrical Interpretation of a Definite Integral., Sketching of Curves.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 9: Differential Equations

Concepts covered in Differential Equations are Applications of Differential Equation, Basic Concepts of Differential Equations, Formation of Differential Equations, Forms of Solving Differential Equation>Reducible to variables separable, Forms of Solving Differential Equations> Homogeneous Differential Equations, Forms of Solving Differential Equations>Linear Differential Equations, Forms of Solving Differential Equations> Variable Separable, Order and Degree of a Differential Equation, Solution of a Differential Equation.

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ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 10: Vector Algebra

Concepts covered in Vector Algebra are Algebra of Vectors > Addition & Subtraction of Two Vectors, Algebra of Vectors > Scalar Multiplication, Basic Concepts of Vector Algebra, Collinearity and Coplanarity of Vectors, Components of Vector in Algebra, Direction Ratios, Direction Cosine & Direction Angles in Vector, Parallel Vectors, Product of Two Vectors > Scalar (Dot) Product, Product of Two Vectors > Vector (Cross) Product, Section Formula in Vector Algebra, Types of Vectors in Algebra, Vectors in Coordinate Geometry.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 11: Three Dimensional Geometry

Concepts covered in Three Dimensional Geometry are Angle Between Two Lines, Angle Between Two Planes, Coplanar and Intersection of Two Lines, Different Forms of Equation of a Plane, Direction Cosines and Direction Ratios of a Line, Distance of a Point from a Plane, Foundation of Coordinate Geometry, Plane with Normal Form, Shortest Distance Between Two Lines, Straight Line In Space.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 12: Linear Programming

Concepts covered in Linear Programming are Concepts of Linear Programming, Graphical Solution of Linear Inequations, Linear Programming Problem and Its Mathematical Formulation, Methods to Solve LPP (Graphical / Corner Point Method), System of Inequations.

ML Aggarwal Solutions for ISC Class 12 Mathematics (12th) 13: Probability

Concepts covered in Probability are Bayes’ Theorem, Concept of Probability, Conditional Probability, Finding Probability of Dependent Events, Laws of Probability, Mean (Exception) of Probability Distribution, Multiplication Theorem of Probability, Random Variables, The Law of Total Probability.

ML Aggarwal Solutions for Mathematics Volume 1 and 2 [English] Class 12 ISC

ISC Class 12 ML Aggarwal solutions answers all the questions given in the ML Aggarwal textbooks in a step-by-step process. Our Mathematics tutors have helped us put together this for our ISC Class 12 Students. The solutions on Shaalaa will help you solve all the ML Aggarwal ISC Class 12 Mathematics 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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ML Aggarwal Solutions for ISC Class 12 Mathematics CISCE

ISC Class 12 ML Aggarwal Solutions answer all the questions in the ML Aggarwal textbooks in a step-by-step process. Our Mathematics tutors helped us assemble this for our ISC Class 12 students. The solutions on Shaalaa will help you solve all the ML Aggarwal ISC Class 12 Mathematics questions without any problems. Every chapter has been broken down systematically for the students, which gives them fast learning and easy retention.

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ML Aggarwal ISC Class 12 Mathematics Guide Book Back Answers

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