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CBSE Chic 12 Maths Syllabus 2019-20 is accessible actuality for download in PDF format. Major changes accept been empiric in the assay arrangement and the new CBSE Syllabus 2019-20 of Chic 12 Maths. Students can download Chic 12 Maths Syllabus 2019-20 with the advice of download articulation accustomed at the end of this article.
CBSE Chic 12 Maths Sample Paper 2020 (Issued by CBSE): Download PDF
CBSE 12th Date Sheet 2020: CBSE Time Table 2020 for Science, Commerce, Arts & Other
Most important allocation of CBSE Chic 12 Maths Syllabus 2019-20 is accustomed below:
Number of Periods
I. Relations and Functions
IV. Vectors and Three – Dimensional Geometry
V. Beeline Programming
Unit-I: Relations and Functions
1. Relations and Functions (15 Periods)
Types of relations: reflexive, symmetric, transitive and adequation relations. One to one and assimilate functions, blended functions, changed of a function.
2. Changed Algebraic Functions 15 Periods
Definition, range, domain, arch amount branch. Graphs of changed trigonometric
Functions Elementary backdrop of changed algebraic functions.
1. Matrices (25 Periods)
Concept, notation, order, equality, types of matrices, aught and character matrix, alter of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Accession and multiplication and multiplication with a scalar. Simple backdrop of addition, multiplication and scalar multiplication.
Non- commutativity of multiplication of matrices and actuality of non-zero matrices whose artefact is the aught cast (restrict to aboveboard matrices of adjustment 2).Concept of elementary row and cavalcade operations. Invertible matrices and affidavit of the character of inverse, if it exists; (Here all matrices will accept absolute entries).
2. Determinants (25 Periods)
Determinant of a aboveboard cast (up to 3 x 3 matrices), backdrop of determinants, minors, co-factors and applications of determinants in award the breadth of a triangle. Adjoint and changed of a aboveboard matrix. Consistency, aberration and cardinal of solutions of arrangement of beeline equations by examples, analytic arrangement of beeline equations in two or three variables (having altered solution) appliance changed of a matrix.
1. Continuity and Differentiability (20 Periods)
Continuity and differentiability, acquired of blended functions, alternation rule, acquired of changed algebraic functions, acquired of absolute functions. Concept of exponential and logarithmic functions.
Derivatives of logarithmic and exponential functions. Logarithmic differentiation, acquired of functions bidding in parametric forms. Additional adjustment derivatives. Rolle’s and Lagrange’s Beggarly Amount Theorems (without proof) and their geometric interpretation.
2. Applications of Derivatives (10 Periods)
Applications of derivatives: amount of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first acquired analysis motivated geometrically and additional acquired analysis accustomed as a absolute tool). Simple problems (that allegorize basal attempt and compassionate of the accountable as able-bodied as real-life situations).
3. Integrals (20 Periods)
Integration as changed action of differentiation.Integration of a array of functions by substitution, by fractional fractions and by parts, Appraisal of simple integrals of the afterward types and problems based on them.
Definite integrals as a absolute of a sum, Fundamental Assumption of Calculus (without proof).Basic backdrop of audible integrals and appraisal of audible integrals.
4. Applications of the Integrals (15 Periods)
Applications in award the breadth beneath simple curves, abnormally lines, circles/ parabolas/ellipses (in accepted anatomy only), Breadth amid any of the two aloft said curves (the arena should be acutely identifiable).
5. Cogwheel Equations (15 Periods)
Definition, adjustment and degree, accepted and accurate solutions of a cogwheel equation. accumulation of cogwheel blueprint whose accepted band-aid is given. Band-aid of cogwheel equations by adjustment of break of variables, solutions of constant cogwheel equations of aboriginal adjustment and aboriginal degree. Solutions of beeline cogwheel blueprint of the type:
(dy/dx) py = q, area p and q are functions of x or constants.
(dx/dy) px = q, area p and q are functions of y or constants.
Unit-IV: Vectors and Three-Dimensional Geometry
1. Vectors (15 Periods)
Vectors and scalars, consequence and administration of a vector. Administration cosines and administration ratios of a vector. Types of vectors (equal, unit, zero, alongside and beeline vectors), position agent of a point, abrogating of a vector, apparatus of a vector, accession of vectors, multiplication of a agent by a scalar, position agent of a point adding a band articulation in a accustomed ratio. Definition, Geometrical
Interpretation, backdrop and appliance of scalar (dot) artefact of vectors, agent (cross) artefact of vectors, scalar amateur artefact of vectors.
2. Three – dimensional Geometry (15 Periods)
Direction cosines and administration ratios of a band abutting two points. Cartesian blueprint and agent blueprint of a line, coplanar and skew lines, beeline ambit amid two lines. Cartesian and agent blueprint of a plane.Angle amid (i) two lines, (ii) two planes, (iii) a band and a plane. Ambit of a point from a plane.
Unit-V: Beeline Programming
1. Beeline Programming (20 Periods)
Introduction, accompanying analogue such as constraints, cold function, optimization, altered types of beeline programming (L.P.) problems, algebraic conception of L.P. problems, graphical adjustment of band-aid for problems in two variables, achievable and absurd regions (bounded or unbounded), achievable and absurd solutions, optimal achievable solutions (up to three non-trivial constraints).
1. Anticipation (30 Periods)
Conditional probability, multiplication assumption on probability, absolute events, absolute probability, Bayes’ theorem, Accidental capricious and its anticipation distribution, beggarly and about-face of accidental variable.
Prescribed Books for CBSE Chic 12Maths:
Mathematics Part I – Textbook for Chic XII, NCERT Publication
Mathematics Part II – Textbook for Chic XII, NCERT Publication
Mathematics Exemplar Problem for Chic XII, Appear by NCERT
Mathematics Lab Manual chic XII, appear by NCERT
Download CBSE Chic 12 Maths Syllabus 2019-20 in PDF architecture
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