Mathematical Reasoning Class 11 CBSE Maths Chapter 14

Class 11 CBSE Maths Syllabus
Chapter 1:Sets
Chapter 2: Relations and Functions
Chapter 3: Trigonometric Functions
Chapter 4: Principles of Mathematical Induction
Chapter 5: Complex Numbers and Quadratic Equations
Chapter 6: Linear Inequalities
Chapter 7: Permutations and Combinations
Chapter 8: Binomial Theorem
Chapter 9: Sequences and Series
Chapter 10: Straight lines
Chapter 11: Conic Sections
Chapter 12: Introduction to 3D
Chapter 13: Limits and Derivatives
Chapter 14: Mathematical Reasoning
Chapter 15: Stastics
Chapter 16: Probability

Introduction

Below we have provided some of the important points to remember for NCERT Class 11 Maths Chapter 14 to ace your exams:

1. Statement (Proposition) and Types of Statement: A sentence is called a mathematically acceptable statement or simply a statement if it is either true or false but not both.

(i) Declarative:

Any statement which is either true or false but not both is called as declarative sentence.

(ii) Imperative:

Any imperative sentence such as command or a request cannot be a statement.

(iii) Exclamatory:

Any exclamatory sentence such as some emotion or excitement type sentence is not a statement.

(iv) Interrogative:

Any interrogative sentence such as a question type sentence is not a statement.

2. Simple statement: The simple statement is a statement which cannot be broken down into two or more statements.

3. Compound statement: A statement is called a compound statement if it is made up of two or more simple statements.

Compound statements are obtained by using connecting words like “AND“, “OR“ etc and phrases “If-then“, “Only if“, “if and only if“, ‘”There exists“, “For all“ etc.