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# NCERT Solutions for Class 11 Maths Chapter 14 - Mathematical Reasoning

The underlying idea of Mathematical Reasoning concerning Mathematics and what it means has been put forward and discussed in chapter 14 of CBSE class 11th Maths syllabus. In the earlier chapters, students will get to learn inductive reasoning regarding Mathematical Induction. And, here they will be learning about a few fundamentals of deductive reasoning.

The topics that have been introduced in this chapter for class 11 students are statements accepted mathematically. What are the connecting phrases or words, i.e. giving a consolidated understanding of "implies", "implied by", "and/or", "and", "or", "there exists", and "if and only if condition (necessary and sufficient); validate the statements concerning the connecting words, and a few others as well. For students' crystal clarity and easy understandability, a total of 5 exercises plus a miscellaneous exercise has been given at the end of the chapter. Following are the topics discussed in the chapter:

The concept of Mathematical Reasoning is introduced in the introductory part where through the process of reasoning, illustrations, fundamentals of deductive reasoning, and different types of reasoning the chapter has been explained.

Defining a mathematical and mathematically acceptable statement is done under this topic.

**New Statements derived from the Old one**

Deriving new statements from old ones using a technique, how a negation of a statement is done, and compound statements have been discussed.

The connecting words, such as "and", "or", etc., and the different types of quantifiers are talked about under this topic.

The types of implications, like contrapositive and converse statements, have been presented under this topic.

The process where mathematical statements are validated for specific cases is studied here.

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## Key Features of the NCERT Solutions for Class 11 Maths Chapter 14: Mathematical Reasoning

- Aakash NCERT Solutions for this chapter has been given in a very lucid language to eliminate the chances of getting confused while learning and practicing the chapter.
- Aakash NCERT Solutions for Class 11th Maths Chapter 14 will boost students' problem-solving and critical thinking skills. For future reference, the solution file is allowed for downloading purposes without any charges.