NCERT Solutions for Class 10 Science Chapter 4

May 24, 202339 Insightful Publications

**NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning: **Mathematical Reasoning is the fourteenth chapter in Class 11 Maths. The NCERT Solutions for Class 11 Maths chapter 14 are easy, short and important in order to learn whether a statement is mathematical acceptable and how to prove it. With the help of the NCERT Solutions, students will be able to solve all the in-text questions given at the end of each topic.

The CBSE Class 11 Maths chapter 14 Mathematical Reasoning deals with new statements from old ones, special words/phrases, implications, validating statements, etc. There are over 800 sample questions on Embibe platform for students to solve for free. In this article, we have provided the NCERT Solutions for Class 11 Chapter 14 Maths along with important topics. Scroll down to learn more!

Students can follow the NCERT Solutions for Class 11 Maths Chapter 14 Solution Sets provided here as a reference. Mathematical reasoning is a concept which helps students understand that a sentence is called a mathematically acceptable statement if it is either true or false but not both. Practising Embibe’s sample questions will ensure that students remember the formulas and apply them correctly.

Embibe provides solutions for all the questions in CBSE Class 11 Maths Chapter 14 textbooks, based on the latest syllabus. Students can solve these questions on Embibe platform for free and score good marks. Embibe also provides NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for free.

NCERT Class 11 Maths Chapter 14 Mathematical Reasoning has five exercises. There is a total of 13 topics, including the introduction.

Sr. No. | Topic Name |
---|---|

14.1 | Introduction |

14.2 | Statements |

14.3 | New Statements from Old |

14.3.1 | Negation of a Statement |

14.3.2 | Compound Statements |

14.4 | Special Words/Phrases |

14.4.1 | The Word “And” |

14.4.2 | The Word “Or” |

14.4.3 | Quantifiers |

14.5 | Implications |

14.5.1 | Contrapositive and Converse |

14.6 | Validating Statements |

14.6.1 | By Contradiction |

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.

(i)The compound statement with “AND” is

(a) True if all its component statements are true.

(b) False if any of its component statements are false.

(ii)The compound statement with *“*OR*“* is

(a) True when one component statement is true or both the component statements are true.

(b) False when both the component statements are false.

The detailed NCERT Class 6 solutions are provided below for your reference:

**1st Chapter Sets****2nd Chapter Relations and Functions****3rd Chapter Trigonometric Functions****4th Chapter Principle of Mathematical Induction****5th Chapter Complex Numbers and Quadratic Equations****6th Chapter Linear Inequalities****7th Chapter Permeutations and Combinations****8th Chapter Bionmial Theorem****9th Chapter Sequence and Series****10th Chapter Straight Lines****11th Chapter Conic Sections****12th Chapter Introduction to Three Dimensional Geometry****13th Chapter Limits and Derivatives****14th Chapter Mathematical Reasoning****15th Chapter Statistics****16th Chapter Probability**

**Ans**: In the NCERT Class 11 Chapter 14, Mathematical Reasoning, students are introduced to a new segment of mathematics where the students learn about Mathematical Reasoning and its significance in our day-to-day life.

**Ans**: Embibe provides 800+ practice questions for Class 11 Maths Chapter 14. Therefore, students must practice these questions from Embibe for free.

**Ans: **Yes, students can take the mock tests for Class 11 Maths for free on Embibe. Therefore, students in Class 11 can sign up for Embibe and take the mock test.

**Ans.** All the NCERT Solutions provided by Embibe are available for free.

**Ans**: There are 25 questions in four exercises in the NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning.

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