Target 90% Plus : Mathematics Class XII (EM)

Categories: 12th-Sci
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About Course

Mathematics Class XII English Medium Course suitable for the students of Class XII with CBSE , ICSE  or State Board. You will get excellent Animated Video Content , Updated Study Material , Mind Map for easy memorizing  , Assignments for Practice  in objective and subjective both more. Test Series Chapter and Topic Based . Mock Test for very similar experience for Target Examination.

Best Way to follow the Material is 

  1. Go through the Chapter Video
  2. Go through the Chapter from Prescribed Book
  3. Go through the DMentor’s Chapter Study Material, use PDF highlighter to underline important points in notes.
  4. Do Complete Objective Assignment to check clarity of your knowledge and then do subjective assignments to improve your presentation.
  5. Objective Assessment to diagnose your topic wise weaknesses and Attempt Subjective Test to evaluate your presentation and time management.

After this get assured for 90% plus mark in every exam, All the Best

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Course Content

Chapter 1 : Relations and Functions

  • Draft Lesson
    18:16

Chapter 2 : Inverse Trigonometric Functions

Chapter 3 : Matrices
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operations on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restrict to square matrices of order 2). Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

Chapter 4 : Determinants
Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.

Chapter 5 : Continuity and Differentiability
Continuity and differentiability, chain rule, derivative of inverse trigonometric functions, 𝑙𝑖𝑘𝑒 sin−1 𝑥 , cos−1 𝑥 and tan−1 𝑥, derivative of implicit functions. Concept of exponential and logarithmic functions.

Chapter 6 : Applications of Derivatives
Applications of derivatives: rate of change of quantities, increasing/decreasing functions, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real- life situations).

Chapter 7 : Integrals

Chapter 8 : Applications of the Integrals
Applications in finding the area under simple curves, especially lines, circles/ parabolas/ellipses (in standard form only)

Chapter 9 : Differential Equations
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:

Chapter 10 : Vectors
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.

Chapter 11 : Three – dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, skew lines, shortest distance between two lines. Angle between two lines.

Chapter 12 : Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded or unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

Chapter 13 : Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable and its probability distribution, mean of random variable.

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