You can find study materials for Kerala syllabus Plus One Mathematics on this website. The notes were written by qualified teachers who were hired to teach in government training colleges after passing the Grade Examination.

Students who want to study for the +1 exam should use this website. For each chapter of the curriculum, it includes all the necessary study materials and notes. The authors of these notes are trained educators who just passed the Grade Examination administered by the Kerala State Education Board.

Board |
SCERT, Kerala |

Text Book |
NCERT Based |

Class |
Plus One |

Subject |
Math's |

Materials Provided |
Notes, Textbook Solutions, Solved Question Paper |

Category |
Plus One Kerala |

## Kerala Higher Secondary Plus One Math's Chapter wise Study Materials

- Chapter 1 : Sets
- Chapter 2 : Relations and Functions
- Chapter 3 : Trigonometric Functions
- Chapter 4 : Principle of Mathematical Induction
- Chapter 5 : Complex Numbers and Quadratic Equations
- Chapter 6 : Linear Inequalities
- Chapter 7 : Permutation and Combinations
- Chapter 8 : Binomial Theorem
- Chapter 9 : Sequences and Series
- Chapter 10 : Straight Lines
- Chapter 11 : Conic Sections
- Chapter 12 : Introduction to Three Dimensional Geometry
- Chapter 13 : Limits and Derivatives
- Chapter 14 : Mathematical Reasoning
- Chapter 15 : Statistics
- Chapter 16 : Probability

#### Plus One Maths Part I

#### Plus One Maths Part II

- Chapter 1 : Sets
- Chapter 2 : Relations and Functions
- Chapter 3 : Trigonometric Functions
- Chapter 4 : Principle of Mathematical Induction
- Chapter 5 : Complex Numbers and Quadratic Equations
- Chapter 6 : Linear Inequalities
- Chapter 7 : Permutation and Combinations
- Chapter 8 : Binomial Theorem
- Chapter 9 : Sequences and Series
- Chapter 10 : Straight Lines
- Chapter 11 : Conic Sections
- Chapter 12 : Introduction to Three Dimensional Geometry
- Chapter 13 : Limits and Derivatives
- Chapter 14 : Mathematical Reasoning
- Chapter 15 : Statistics
- Chapter 16 : Probability

#### Plus One Maths Part I

#### Plus One Maths Part II

### SETS AND FUNCTIONS IN UNIT I

### 1. Sets

### collections and the way they are represented. empty container Infinite and constrained pillars. comparable package Subcommittees. space-specific subgroups of the set of real numbers (with references). power level. usual bounds. Map, Wayne. Package union and cross-section. several packages. completing a package, an extra package's features.

### 2. Relationships and Purposes

### Cartesian product packages and ordered pairs. the number of items in two finite columns' Cartesian multiplication. Up to R R R, the actual Cartesian product is itself. Domain, parallel domain, contact definition, and contact image map. serve as a unique type of connection from one set to another. A function, domain, related domain, and purpose of a function are all shown visually. These functions have deterministic, distinguishable, polynomial, rational, modulus, sinus, and fit functions of the largest integer as their real variables, domains, and limits.

### Make use of their maps. Total, variation, quantity of the product, and operation.

### 3. Using trigonometry

### Positive and negative angles should function. Angles are measured in radians and degrees, and they are converted between dimensions. Using the unit circle, define trigonometric functions. The sine sin2 x + cos2 x = 1's reality is that x is all there is. trigonometric functions' signs and their pictures' diagrams. Based on sin x, sin y, cos x, and cos y, the expression of sin (x + y) and cos (x + y)

### Symbols for solutions of trigonometric equations that are particular to the sin type, cos type, tan type, sin3x, cos3x, and tan3x angles. Testimonials and instructions for using the sine and cosine formulas simply.

### Module 2: Algebra

### 1. Mathematical Induction Principles

### The strategy is encouraged by the inductive method of proof, which sees the natural numbers as the real numbers' least inductive subset. Simple applications of the mathematical induction theory.

### Quantities that are complex and quadratic equations

### Every quadratic equation for complex numbers, in particular -1, must be triggered by its inability to be solved. a succinct explanation of the algebraic characteristics of complex numbers. Polar and the Arcand plane are two ways to represent complex numbers. The definition of algebra's fundamental concept, how to solve two-dimensional equations in complex number systems, and how to get the square root of a complex integer.

### Linear inequality 3.

### Linear oscillations, their representation in numerical order, and their algebraic solutions for linear oscillations in a single variable. The two-variable linear imbalance graphic solution. Method for the solution of a system of linear oscillations in two variables.

### 4. Combinations and Permutations

### the foundations of computation. formulas and their permutations, combinations, and combinations resulting from straightforward applications, or factor n.

### 5. Theorem of Binomial

### The bilingual theory for positive integration codes, including its history, reporting, and source. Simple Applications, Common and Medium Terms in Binary Expansion, and the Pascal's Triangle.

### 6. sequence and series.

### Common names for geometric progression (GB), a GP, and a GP include arithmetic progression (AB), arithmetic mean (AM), and a GP. Math and geometry series, Endless GPS in its whole, i.e. (GM).

### Integrated Geometry in Unit III

### 1. Linear Motion

### A brief summary of 2-D from earlier classes, including source revision. a line's gradient and the angle formed by two lines. Parallel to the axis, gradient-shape, gradient-intercept shape, two-point shape, interference shape, and normal shape are some of the several types of one-line equations. A line's general equation. equation for a family of lines that cross across two other lines. a point's separation from a line.

### Conic Sections 2.

### Circle, Ellipse, Parabola, Hyperbola, a Point, a Straight Line, and a Pair are the different parts of a cone.

### The degenerative line of the angular segment is formed by diagonal lines. Basic Properties and General Equations

### Ellipse, hyperbola, and parabola. Circular equation in general.

### 3. Three-Dimensional Geometry Overview

### three-dimensional integrated axes and integrated planes. a point's coordinates. Distance

### involving the division algorithm and two points.

### Calculus Limits and Derivatives in Unit IV (Period 18)

### obtained as a result of the geometric change rate and the distance function.

### The definition of derivation, which may be connected to a curve's inclination, a function's sum, difference, product, or combination. descendants

### trigonometric and polygonal functions.

### Mathematical Reasoning Unit V

### acceptable mathematical statement Combination of "if necessary (substantial and sufficient) conditions," "hint," "and/or," "hint," "and," "or," "existence," and use of real-world and mathematical examples in various contexts.

### Statistics and Probabilities in Unit Six

### 1. The statistical scatter size of grouped/categorized data, including divergence, variance, and continuous departure examination of frequency distributions with comparable but dissimilar variances.

### 2. likelihood

### Effect and sample size in randomised trials (standard representation). Events: Events, "NOT," "AND," and "OR" Events, Complete Events, and Events with events that cannot coexist. Axioms from earlier classes are connected by the axiomatic potential (theoretical set). Probability of an event, as well as the likelihood that "not," "and," and "or" will occur.

### Plus One Maths Related Links

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