CLASS 11 TOPICS:
  Sets, Relations, Functions: domain, range, types of functions, composition
  Trigonometry: identities, inverse functions, equations, heights and distances
  Algebra: complex numbers, quadratic equations, sequences (AP, GP, HP)
  Permutation and Combination, Binomial Theorem
  Straight Lines and Conic Sections (circles, parabola, ellipse, hyperbola)
  Limits, Continuity, Differentiability (introduction)
  Statistics and Probability

CLASS 12 TOPICS:
  Relations and Functions, Inverse Trigonometric Functions
  Matrices and Determinants: operations, inverse, solving systems
  Continuity and Differentiability: chain rule, implicit, parametric
  Applications of Derivatives: tangents, normals, maxima/minima
  Integrals: indefinite, definite, area under curves
  Differential Equations: variable separable, homogeneous, linear
  Vectors: dot product, cross product, scalar triple product
  Three Dimensional Geometry: lines and planes in 3D
  Probability: conditional, Bayes' theorem, distributions

JEE MAIN FREQUENCY:
  Calculus (Integration + Differentiation): 25-30 marks
  Coordinate Geometry (circles, parabola, ellipse): 20-25 marks
  Algebra (complex numbers, sequences, P&C): 15-20 marks
  Matrices and Determinants: 10-15 marks
  Probability and Statistics: 10-15 marks
  Vectors and 3D: 10-15 marks
  Trigonometry: 5-10 marks

SCORING TOPICS (easiest to get full marks):
  Determinants: property-based questions, systematic approach
  Sequences (AP/GP/HP): formula application
  Statistics: definition-based, straightforward calculations
  Probability: conditional, Bayes — systematic approach works

TRICKY TOPICS (need deep understanding):
  Integration: substitution, parts, partial fractions — practice 200+ integrals
  Complex numbers: geometry on Argand plane
  Conic sections: tangent/normal conditions, properties

JEE MATHS STRATEGY:
  Score 75-80/100 in Maths to crack JEE Main well
  Integration: solve 10 integrals daily (mandatory practice)
  Previous year: repeat questions are common in JEE Main

BOOKS:
  R.D. Sharma: foundation, good for NCE
  Arihant by S.K. Goyal: each topic book (Algebra, Calculus, Coordinate)
  Cengage (G. Tewani): comprehensive, JEE Advanced level
  
SHORTCUTS: remember formulas for nPr, nCr | standard integrals | trig identities