MHT-CET MATHEMATICS SYLLABUS

Comprehensive overview of Class 11 & 12 topics for Maharashtra Common Entrance Test

Important Note: MHT-CET Mathematics paper primarily focuses on the **Class 12 syllabus (80% weightage)**, with foundational concepts from Class 11 contributing to the remaining **20%**. Always refer to the official CET Cell PDF for the exact, up-to-date syllabus.

🎯 Class 12 Mathematics (High Weightage)

Key Chapters and Concepts

Chapter / Unit Core Concepts for MHT-CET
**Mathematical Logic**Statements, Logical Connectives (Conjunction, Disjunction, Negation, Conditional, Biconditional), Truth Tables, Tautology, Contradiction, Duality.
**Matrices**Types of Matrices, Algebra of Matrices, Inverse of a Matrix (Adjoint and Elementary Transformations), Solution of System of Linear Equations (Matrix Inversion Method, Reduction Method).
**Trigonometric Functions**Inverse Trigonometric Functions and their Properties, Principal Values, General Solutions, Properties of Triangles (Sine Rule, Cosine Rule, Projection Rule, Half Angle formulae).
**Pair of Straight Lines**Combined Equation of a Pair of Lines Passing Through Origin and General Second-Degree Equation, Angle Between Lines.
**Vectors**Types of Vectors, Scalar and Vector Products of Two Vectors, Scalar Triple Product, Vector Triple Product, Applications in Geometry (Area of Triangle/Parallelogram, Volume of Parallelopiped).
**Three Dimensional Geometry**Direction Cosines and Direction Ratios of a Line, Equation of a Line (Vector and Cartesian forms), Equation of a Plane (Vector and Cartesian forms), Angle between Lines/Planes, Shortest Distance between Skew Lines.
**Line and Plane**Further details and applications of 3D Geometry for lines and planes.
**Continuity**Continuity of a Function at a Point and on an Interval, Discontinuities.
**Differentiation**Derivatives of Composite Functions, Inverse Functions, Implicit Functions, Parametric Functions, Higher Order Derivatives, L'Hopital's Rule (for limits).
**Applications of Derivatives**Tangent and Normal to a Curve, Approximations, Rolle's Theorem, Mean Value Theorem, Increasing and Decreasing Functions, Maxima and Minima, Rate Measure.
**Indefinite Integration**Methods of Integration (Substitution, By Parts, Partial Fractions), Standard Integrals.
**Definite Integration**Fundamental Theorem of Calculus, Properties of Definite Integrals.
**Applications of Definite Integral**Area Under Curves (Simple Curves, Between Two Curves).
**Differential Equations**Order and Degree of a Differential Equation, Formation of Differential Equations, Solution of First Order and First Degree Differential Equations (Variable Separable, Homogeneous, Linear Differential Equations).
**Probability Distribution**Random Variables (Discrete and Continuous), Probability Mass Function (PMF), Probability Density Function (PDF), Expectation, Variance, Binomial Distribution (Mean, Variance).
**Bernoulli Trials and Binomial Distribution**Understanding of Bernoulli trials and the properties of binomial distribution.
**Linear Programming Problems (LPP)**Formulation of LPP, Graphical Method of Solving LPP (feasible region, optimal solution).

📚 Class 11 Mathematics (Foundational Concepts)

These chapters lay the groundwork. While fewer direct questions may appear, understanding these is crucial for Class 12 topics.

Essential Chapters

Chapter / Unit Focus Areas
Angle and its MeasurementTrigonometric functions, Compound angles, Factorization formulae.
Trigonometry - IIInverse Trigonometric Functions.
Straight LineEquations of a line, various forms, point of intersection.
CircleEquation of a circle (various forms), Tangent and Normal.
Conic SectionsIntroduction to Parabola, Ellipse, Hyperbola.
Measures of DispersionMean Deviation, Variance, Standard Deviation.
ProbabilityBasic Concepts, Events, Conditional Probability.
Complex NumbersAlgebra of complex numbers, Argand Plane, Modulus and Argument.
Permutations and CombinationsFundamental Principles, Factorial, Combinations & Permutations formulas.
Methods of Induction and Binomial TheoremBasic understanding.
LimitsExistence of limits, Algebraic limits, L'Hopital's Rule.
ContinuityConcept of continuity and discontinuity.
DifferentiationDerivatives of standard functions.