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  • Last Modified 27-01-2023

NCERT Solutions for Class 11 Maths Exercise 14.4 Mathematical Reasoning

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NCERT Solutions for Class 11 Maths Exercise 14.4 Mathematical Reasoning: The NCERT Solutions for Chapter 14 Exercise 14.4 Class 11 Maths covers the crucial topic of implications. It explains the usage of contrapositives and converses in writing statements. Chapter 14, Mathematical Reasoning, talks about Statements, Implications, Validating Statements and Logical Connectives and Quantifiers. When the students start solving these problems, they will better understand validating statements in different ways. Students will be able to visualise implications in real-life situations. 

Embibe offers a set of more than 450 practice questions for all the sub-topics of chapter 14, Class 11 Maths. Students must place their focus on practising all the in-text questions given by Embibe to score well in the exams. Keep reading to know NCERT solutions for Class 11 Maths Exercise 14.4 Mathematical Reasoning.

NCERT Solutions for Class 11 Maths Chapter 14: Important Topics

The student can easily understand CBSE Class 11 Chapter 14, Mathematical Reasoning if they follow the conceptual videos and practice all the in-text questions along with the examples on Embibe. By practicing as many problems as possible, students can understand the types of questions present in the chapter and develop proficiency in the subject.

At Embibe, students can find solutions to each and every question in the Mathematical Reasoning of Class 11 Maths textbook considering the latest syllabus. Also, students can access the solutions at Embibe for to achieve good grades.

Moreover, students can access the NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for, along with the NCERT solutions. Below-mentioned is the list of topics present in Class 11 Maths Chapter 14:

S.NoTopic Name
14.1Statements
14.2New Statements from Old
14.3Logical Connectives and Quantifiers
14.4Implications
14.5Validating Statements

NCERT Solutions for Class 11 Maths Chapter 14: Points to Remember

Some of the important points to be remembered from Class 11 Maths Chapter 14 Mathematical Reasoning are mentioned below for the students to have a quick and thorough revision during the final exams.

  • Some of the connectives include “If” and “then”, “only if”, and “if and only if”
  • An implication or a conditional statement is a compound statement built with the connecting words “If – then”
  • A compound statement is expressed as “if p, then q”.
  • A compound statement is called an implication or conditional statement when statement q is true because statement p is true.
  • If p ⇒ q is an implication
    Converse of p ⇒ q is q ⇒ p
    Inverse of p ⇒ q is ~p ⇒ ~q
    Contrapositive of p ⇒ q is ~q ⇒ ~p.
  • In implications, p ⇒ q means p implies q
  • Converse: q ⇒ p: The two sides of a triangle are equal if it is an isosceles triangle
  • Inverse:~p ⇒ ~q: A triangle is not an isosceles triangle if two sides are not equal
  • Contrapositive: ~q ⇒ ~p: If a triangle is non-isosceles, then two sides are unequal.

NCERT Solutions for Class 11 Maths: All Chapters

Below-mentioned are the detailed NCERT Class 11 Maths solutions for all the chapters.

FAQs on NCERT Solutions for Class 11 Maths Chapter 14.4

Below mentioned are some of the frequently asked questions related to NCERT Solutions for Class 11 Maths Chapter 14.

Q: What are the main topics of NCERT Class 11 Maths Solutions for Mathematical Reasoning Exercise 14.4?

Ans: The main topics of NCERT Class 11 Maths Solutions for Mathematical Reasoning Exercise 14.4 are Introduction, Statements, New statements from old, Special words or Phrases, Implications, and Validating Statements.

Q: Where can I find Exercise 14.4 Class 11 NCERT solutions?

Ans: Students who are looking for chapter-wise NCERT solutions can directly visit the official website of Embibe. NCERT Solutions for Exercise 14.4 Class 11 Maths is available in this article.

Q: What is the importance of Chapter 14 Class 11 Maths?

Ans: Chapter 14 Class 11 Maths has tremendous importance as it gives students the power of reasoning and logical thinking. Students can follow these solutions for various competitive exams, including JEE Main, JEE Advanced, etc.

Q: What are the important topics of Chapter 14 Class 11 Maths?

Ans: The important topics of Chapter 14, Class 11, Mathematical Reasoning of NCERT Solutions, are crucial concepts, including Mathematical Reasoning using illustrations, different kinds of reasoning, the process of reasoning, and fundamentals of deductive reasoning.

Q: How to practice Class 11 Maths Chapter 14 Exercise 14.4?

Ans: Students must get a basic understanding of implications, especially when it comes to validating statements. Quickly implementing the practice of implications in mathematical statements is important, and they can do it by going through all the important concepts presented in Class 11 Maths Chapter 14, including Exercise 14.4.

We hope this detailed article on NCERT Solutions For Class 11 Maths Chapter 14.4 helps you achieve good results in your Class 12 exams. For more updates on NCERT Solutions for Class 11, Stay tuned to Embibe.

Adaptive Practice with Solutions To Help You Ace Important Topics for 11th NCERT