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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 ThreeDimensional Geometry 
14 
V 
Probability 
8 
Total 
40 

Internal Assessment 
10 

Total 
50 
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UnitIII: Calculus
1.
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IntegralsIntegration 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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CBSE results delayed for TERM1 EXAMS 202122
UnitIV: Vectors and ThreeDimensional 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.
UnitVI: 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 recordkeeping: 3 marks
Assessment of the activity performed during the termend test and Vivavoce: 2 marks
For complete details of the CBSE Class 12 Maths Syllabus 202122 (Term 2) PDF, check this link.