MAH-MHT CET (PCM/PCB) Mathematics Syllabus: Check the Latest Syllabus

• Equation of a locus

• Slope of a Line Or Gradient of a Line.
• Parallelism of Line
• Perpendicularity of Line in Term of Slope
• Collinearity of Points
• Slope of a line when coordinates of any two points on the line are given
• Conditions for parallelism and perpendicularity of lines in terms of their slopes
• Angle between two lines
• Collinearity of three points

• Introduction of Distance of a Point from a Line
• Distance between two parallel lines

1. Variance and Standard Deviation for raw data
2. Variance and Standard Deviation for ungrouped frequency distribution
3. Variance and Standard Deviation for grouped frequency distribution

• Mean deviation for grouped data
• Mean deviation for ungrouped data

• Standard equation of the ellipse
• Special cases of an ellipse
• Tangent to an ellipse
• Equation of tangent to the ellipse
• Condition for tangency
• Tangents from a point to the ellipse
• Locus of point of intersection of perpendicular tangents
• Auxilary circle and director circle of the ellipse

• Independent Events

• Partition of a sample space
• Theorem of total probability

• Imaginary number
• Complex Number

• Equality of two Complex Numbers 
• Conjugate of a Complex Number 
• Properties of `barz`
• Addition of complex numbers - Properties of addition, Scalar Multiplication
• Subtraction of complex numbers - Properties of Subtraction
• Multiplication of complex numbers - Properties of Multiplication
• Powers of i in the complex number
• Division of complex number - Properties of Division
• The square roots of a negative real number
• Identities

• Solution of a Quadratic Equation in complex number system

• Modulus of z
• Argument of z
• Argument of z in different quadrants/axes - Properties of modulus of complex numbers, Properties of arguments 
• Polar & Exponential form of C.N.

• Properties of Modulus of a complex number
• Square roots of a complex number 

• Properties of 1, w, w²

• Tree Diagram 
• Addition Principle 
• Multiplication principle

• Permutations of distinct objects
• Properties of Permutations
• Objects always together (String method)
• No two things are together (Gap method)

• Composition of three functions

• Continuity of a function at a point
• Definition of Continuity
• Continuity from the right and from the left
• Examples of Continuous Functions
• Properties of continuous functions
• Types of Discontinuities
• Jump Discontinuity
• Removable Discontinuity
• Infinite Discontinuity
• Continuity over an interval
• The intermediate value theorem for continuous functions

• Jump Discontinuity
• Removable Discontinuity
• Infinite Discontinuity

• Standard equation of the ellipse
• Special cases of an ellipse
• Tangent to an ellipse
• Equation of tangent to the ellipse
• Condition for tangency
• Tangents from a point to the ellipse
• Locus of point of intersection of perpendicular tangents
• Auxilary circle and director circle of the ellipse

• Introduction
• Definition: Sets
• Well-defined and Not Well-defined Sets
• Elements of a Set and Notation
• Properties of Sets
• Examples
• Real-Life Applications
• Key Points Summary

• N^th Term of Geometric Progression (G.P.)
• General Term of a Geometric Progression (G.P.)
• Sum of First N Terms of a Geometric Progression (G.P.)
• Sum of infinite terms of a G.P.
• Geometric Mean (G.M.)

• Sum to infinite terms of a G.P.

• Arithmetic mean (A. M.)
• Geometric mean (G. M.) 
• Harmonic mean (H. M.)

• n^th term of A.G.P.
• Sum of n terms of A.G.P.
• Properties of Summation

• Negation of conjunction
• Negation of disjunction
• Negation of implication
• Negation of biconditional

• Universal quantifier (∀)
• Existential quantifier (∃)

• Two switches in series
• Two switches in parallel

• Introduction
• Meaning
• Definition

• Define symmetric and skew symmetric matrix

• Method of Inversion
• Method of Reduction

• Trigonometric equation
• Solution of Trigonometric equation
• Principal Solutions
• The General Solution

• Introduction of Distance of a Point from a Line
• Distance between two parallel lines

• Degree of a term
• Homogeneous Equation

• Definition of Vector Product

• Equation of a line passing through a given point and parallel to given vector
• Equation of a line passing through given two points

• Distance between skew lines
• Distance between parallel lines

• Passing through a point and perpendicular to a vector
• Passing through a point and parallel to two vectors
• Passing through three non-collinear points
• In normal form
• Passing through the intersection of two planes

• Angle between two planes
• Angle between a line and a plane

• Convex Sets
• Graphical representation of linear inequations in two variables
• Graphical solution of linear inequation

• Meaning of Linear Programming Problem
• Mathematical formulation of a linear programming problem
• Familiarize with terms related to Linear Programming Problem

• Graphical method of solution for problems in two variables
• Feasible and infeasible regions and bounded regions
• Feasible and infeasible solutions
• Optimum feasible solution

• Rule of Differentiation
• Introduction

• Simple curves: lines, parabolas, polynomial functions

• Formation of Differential equations from Physical Situations
• Formation of Differential Equations from Geometrical Problems

Population growth, Bacterial colony growth, Surface area, Newton’s laws of cooling, Radioactive decay

• Discrete random variable
• Continuous random variable
• Probability Mass Function
• Cumulative Distribution Function or Distribution Function
• Cumulative Distribution Function from Probability Mass function
• Probability Mass Function from Cumulative Distribution Function 

• Probability density function
• Cumulative distribution function