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Syllabus for CBSE Class 12 Maths 2022 (Term 2): CBSE Class 12 Board Exams 2022
|
No. |
Units |
Marks |
|
III |
Calculus |
18 |
|
IV |
Vectors and Three-Dimensional Geometry |
14 |
|
V |
Probability |
8 |
|
Total |
40 |
|
|
Internal Assessment |
10 |
|
|
Total |
50 |
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Unit-III: Calculus
1. Integrals
Integration is an inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions, and by parts, Evaluation of simple integrals of the following types and problems based on them
Fundamental Theorem of Calculus (without proof).Basic properties of definite integrals and evaluation of definite integrals.
2. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, parabolas; area of circles /ellipses (in standard form only) (the region should be identifiable).
3. Differential Equations
Definition, order, and degree, general and particular solutions of a differential equation. Solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree of the type: 𝑑𝑦/𝑑𝑥 = 𝑓(y/x). Solutions of linear differential equation of the type:
dy/dx + py = q, where p and q are functions of x or constant.
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Unit-IV: Vectors and Three-Dimensional Geometry
1. 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, the 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.
2. Three - dimensional Geometry
Direction cosines and direction ratios of a line joining two points.
Cartesian equation and vector equation of a line, coplanar and skew lines, the shortest distance between two lines.
Cartesian and vector equation of a plane.
Distance of a point from a plane.
Unit-VI: Probability
1. Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution.
|
Internal Assessment |
10 Marks |
|
Periodic Test |
5 Marks |
|
Mathematics Activities: Activity file record +Term end assessment of one activity & Viva |
5 Marks |
Note: For activities, NCERT Lab Manual may be referred to.
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Assessment of Activity Work:
In the first term, any 4 activities, and in the second term any 4 activities shall be performed by the student from the activities given in the NCERT Laboratory Manual for the respective class (XI or XII) which is published on the NCERT official website.
The weightage is as under:
The activities performed by the student in each term and record-keeping: 3 marks
Assessment of the activity performed during the term-end test and Viva-voce: 2 marks
For complete details of the CBSE Class 12 Maths Syllabus 2021-22 (Term 2) PDF, check this link.
