🎓 Class 12 • CBSE • Mathematics

Mathematics

13 chapters — complete each to earn XP and build mastery

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1
Relations and Functions
Types of relations, functions, composition, invertible functions.
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+35 XP
2
Inverse Trigonometric Functions
Principal values, properties, identities.
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+35 XP
3
Matrices
Types, operations, transpose, elementary operations.
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+35 XP
4
Determinants
Properties, expansion, cofactors, adjoint, inverse, Cramer's rule.
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+40 XP
5
Continuity and Differentiability
Continuity, chain rule, implicit, logarithmic differentiation, parametric.
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+40 XP
6
Application of Derivatives
Increasing/decreasing, maxima/minima, tangent/normal, approximations.
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+40 XP
7
Integrals
Integration by substitution, parts, partial fractions, standard forms.
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+40 XP
8
Application of Integrals
Area under curves, area between curves.
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+35 XP
9
Differential Equations
Order, degree, variables separable, homogeneous, linear.
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+40 XP
10
Vector Algebra
Vector operations, dot and cross product, scalar triple product.
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+35 XP
11
Three Dimensional Geometry
Direction cosines, lines, planes, angle between them, distance.
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+40 XP
12
Linear Programming
Graphical method, feasible region, objective function, corner points.
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+35 XP
13
Probability
Conditional probability, Bayes' theorem, random variables, Binomial distribution.
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+40 XP

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