Tenth Cbse Maths Syllabus Zero
09.09.2020
CBSE Class 10 Syllabus For Maths PDF Download Tenth Cbse Maths Syllabus Zero Revised CBSE 10th Maths Syllabus
Types of relations: reflexive, symmetric, transitive tenth cbse maths syllabus zero equivalence relations. One to one and onto functions, composite functions, inverse of a function. Binary operations. Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions. Concept, notation, order, equality, types Cbse 10th Standard Maths Syllabus Notary of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices.
Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Noncommutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix restrict to square matrices of order 2.
Concept tenth cbse Tenth Cbse Maths Syllabus Zero maths syllabus zero elementary row and column operations. Invertible matrices and proof of the uniqueness tenth cbse maths syllabus zero inverse, if it exists; Here all matrices will have real entries. Determinant of a square matrix up to Tenth Cbse Maths Syllabus Zero 3 x 3 matricesproperties of determinants, minors, co-factors and Tenth Cbse Maths Syllabus Zero applications of determinants in finding the area of a Tenth Cbse Maths Syllabus Zero Tenth Cbse Maths Syllabus Zero triangle.
Adjoint and inverse of a square matrix. Consistency, inconsistency and number of solutions of system of linear equations Tenth Cbse Maths Syllabus Zero by examples, solving system of linear equations in two or three variables having unique solution using inverse of a Tenth Cbse Maths Syllabus Zero matrix. Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions.
Concept of exponential and logarithmic functions. Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Simple problems that illustrate basic principles and understanding of the subject as well as real-life situations.
Integration as inverse process of tenth cbse maths syllabus zero. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation Tenth Cbse Maths Syllabus Zero Tenth Cbse Maths Syllabus Zero of simple integrals of the following types and problems based on. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus without proof. Basic properties of Tenth Cbse Maths Syllabus Zero definite integrals and evaluation of definite integrals.
Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given.
Solution of differential equations by method of tenth cbse maths syllabus zero of variables solutions of homogeneous differential equations of first order and first degree. Solutions of linear differential equation of the type:. Vectors tenth cbse maths syllabus zero scalars, magnitude and direction of a vector.
Direction cosines and direction ratios of a vector. Types of vectors equal, unit, zero, parallel and collinear vectorsposition 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 Tenth Cbse Maths Syllabus Zero in a given ratio.
Definition, Geometrical Interpretation, properties tenth cbse maths syllabus zero application of scalar dot product of vectors, vector cross product of vectors, scalar triple product of vectors.
Direction cosines and direction ratios of a Tenth Cbse Maths Syllabus Zero line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle Tenth Cbse Maths Syllabus Zero between i two lines, ii two planes, iii a line and a plane.
Distance of a point from a plane. Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming L. Conditional probability, multiplication theorem on probability.
Repeated independent Bernoulli trials tenth cbse maths syllabus zero Binomial distribution. Relations and Functions 10 Tenth Cbse Maths Syllabus Zero Tenth Cbse Maths Syllabus Zero II. Algebra 13 III. Calculus 44 IV. Vectors and 3-D Geometry 17 V. Linear Programming 6 VI. Relations and Functions Types of relations: reflexive, symmetric, transitive and equivalence relations. Inverse Trigonometric Functions Definition, range, domain, principal value branch.
Unit II: Algebra 1. Matrices Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Determinants Determinant of a square matrix up to 3 x 3 matricesproperties Tenth Cbse Maths Syllabus Zero Tenth Cbse Maths Syllabus Zero of determinants, minors, co-factors and applications of determinants in finding the area of a triangle.
Unit III: Calculus 1. Continuity Tenth Cbse Maths SylTenth Cbse Maths Syllabus Zero labus Zero and Differentiability Continuity and differentiability, derivative of composite functions, Tenth Cbse Maths Syllabus Zero Tenth Cbse Maths Syllabus Zero chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Integrals Integration as inverse process of differentiation. Differential Equations Definition, order and degree, general and particular solutions of a differential equation. Vectors Vectors and scalars, magnitude and direction of a vector.
Three � dimensional Geometry Direction Tenth Cbse Maths Syllabus Zero cosines and direction ratios of a line joining two Tenth Cbse Maths Syllabus Zero points. Unit V: Linear Programming 1. Linear Programming Introduction, related terminology such Tenth Cbse Syllabus 10 as constraints, objective function, optimization, different types of linear programming L. Unit VI: Probability 1. Probability Conditional probability, multiplication theorem on probability. RD Sharma Class 12 Tenth Cbse Maths Syllabus Zero Solutions. Watch Youtube Videos.
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