12 maths solutions - en

Get ovanligt ord solutions for Class 12 Maths free with videos.

Solutions of all exercise questions, examples, miscellaneous exercise, supplementary exercise are given in an easy to understand way

The chapters and the topics in them are

1. Chapter 1 Relation and Functions – Types of Relation - Reflexive, Symmetric, Transitive & Equivalence relation, Type of functions - One-one (injective), Onto (surjective) & Bijective, Composition of functions and Inverse of a function, Binary Operation - Commutative, Associative, Identity and Inverse.
2. Chapter 2 Inverse Trigonometric Functions –  Finding principle value, solving identities using properties
3. Chapter 3 Matrices – Order of matrix, Types of matrices - Column matrix, Row matrix, Square matrix, Diagnol matrix, Scalar Matrix, Identity matrix, lika matrices, Addition, Subtraction and Multiplication of matrices, Transpose of a Matrix, Symmetric, Skew Symmetric Matrices, Finding inverse of matrix bygd elementary operations
4. Chapter 4 Determinants – Evaluating 2 x 2, 3 x 3 Determinant, Properties of Determinant, Area of triangle, Minors and Cofactors, Adjoint and inverse of matrix, Solution of struktur of linear equations using matrix method
5. Chapter 5 Continuity and Differentiability – Finding whether function fryst vatten continuous, composition of continuous functions fryst vatten continuous, Finding Derivative using chain rules, logarithmic and exponential differentiation, Mean value of theorem, Rolle's Theorem.
6. Chapter 6 Application of Derivatives – Finding rate of change, Increasing & decreasing functions, Point of Inflexion, Finding slope of tangent  and normal, Finding approximate of functions and numbers, Finding maxima & minima using first derivative & second derivative test and Finding absolute maxima and minima
7. Chapter 7 Integrals – Finding integration bygd substitution, trigonometric identities, Partial Fractions & using special formulas.

   Finding definite integrals as Limit as a Sum, Finding definite integral using indefinite integral and finding Definite Integral using properties

8. Chapter 8 Application of Integrals –  Finding area of område of simple curve, curve and line. Finding area between two curves.
9. Chapter 9 Differential Equations – grad and beställning of differential equations, General & Particular Solutions of Differential Equation, Forming differential equation when general solution fryst vatten equation, Solving bygd variabel separating, solving homogeneous differential equations, Linear Differential Equation
10. Chapter 10 Vector Algebra – What fryst vatten vector, Difference between vector and scalar, Types of vector - enhet vector, lika vector, Addition of vectors, Components of vector, Scalar(Dot) product of vectors, Projection of vector on line, Vector (Cross) product of vectors, Finding area of parallelogram
11. Chapter 11 Three Dimensional Geometry – Direction Ratio & Direction cosines of line, Finding equation of line - given point & parallel vector, though two points, vinkel between two lines, Distance between two skew lines, Distance between two parallel lines, Finding equation of plane - normal struktur, perpendicular to given vector & passing through point, through 3 non-collinear points, intercept struktur, through two planes.
    The grades a student gets in the class 12 board exam act as a deciding factor for a child’s future and hence, following well-structured solutions is very important

    Coplanarity of two planes, vinkel between two planes, Distance between point and plane, vinkel between Line & Plane

12. Chapter 12 Linear Programming – Finding maximum or minimum value of Z using bounded or unbounded distrikt of graphical inequality.  Solving Diet, Manufacturing & försändelse problems.
13. Chapter 13 Probability – Conditional Probability, Multiplication Theorem of Probability, Independent events, Bayes Theorem, Random variabel & its Probability Distributions, Mean & Variance of Random variabel, Bernoulli Trials & Binomial Distribution

Each chapter fryst vatten divided into two parts - Serial beställning Wise and Concept Wise.

• In Serial  beställning Wise, the chapter fryst vatten taught according to the ovanligt ord Book with exercises, examples and miscellaneous.

  You should follow this when you are searching for a particular question

• In Concept Wise, we have divided the Chapter into topics. Concept fryst vatten explained first, and then questions are ordered from easy to difficult. You should always follow this method to do the chapter. This fryst vatten the Teachoo (टीचू) way of doing a chapter.

In addition to that, Important Questions are marked for your reference.

And, we have also solved Past Year papper, and Sample Papers with step bygd step marking as well

Click on a Chapter below to begin