CBSE Class 12th all subjects:
- Mathematics
Key Topics:
Calculus:
Differentiation formulas: ddx(xn)=nxn−1, ddx(sinx)=cosx.
Integration formulas: ∫xndx=xn+1n+1+C.
Applications of differentiation (tangent, normal, maxima, minima).
Matrices and Determinants:
Properties of determinants, finding the inverse of a matrix using adjoint.
Probability:
Conditional probability, Bayes’ theorem.
Vectors and 3D Geometry:
Vector product, scalar triple product.
- Physics
Key Topics:
Electrostatics and Current Electricity:
Coulomb’s law: F=kq1q2r2.
Ohm’s law: V=IR, Kirchhoff’s laws.
Magnetism and EMI:
Faraday’s law: E=−dΦdt.
Optics:
Lens maker’s formula: 1f=(μ−1)(1R1−1R2).
Modern Physics:
Einstein’s photoelectric equation: E=hν−ϕ.
- Chemistry
Key Topics:
Physical Chemistry:
Nernst equation: E=E0−RTnFlnQ.
Rate laws and integrated rate equations.
Organic Chemistry:
Name reactions: Aldol condensation, Cannizzaro reaction, and more.
Mechanisms for nucleophilic substitution and electrophilic addition.
Inorganic Chemistry:
Hybridization and bonding in coordination compounds.
- Biology
CBSE Key Topics:
Genetics and Evolution:
Mendel’s laws of inheritance, dihybrid cross.
Biotechnology:
Tools (restriction enzymes, vectors) and techniques (PCR, gel electrophoresis).
Human Physiology:
Hormonal regulation and the endocrine system.
Ecology:
Energy flow in ecosystems, food chains, and food webs.