NCERT Class 10 Maths Proofs In Mathematics

Read and download NCERT Class 10 Maths Proofs In Mathematics chapter in NCERT book for Class 10 Mathematics. You can download latest NCERT eBooks for 2021 chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 10 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 10 Mathematics to understand the answers of the exercise questions given at the end of this chapter

The ability to reason and think clearly is extremely useful in our daily life. For example, suppose a politician tells you, ‘If you are interested in a clean government, then you should vote for me.’ What he actually wants you to believe is that if you do not vote for him, then you may not get a clean government. Similarly, if an advertisement tells you, ‘The intelligent wear XYZ shoes’, what the company wants you to conclude is that if you do not wear XYZ shoes, then you are not intelligent enough. You can yourself observe that both the above statements may mislead the general public. So, if we understand the process of reasoning correctly, we do not fall into such traps unknowingly.

The correct use of reasoning is at the core of mathematics, especially in constructing proofs. In Class IX, you were introduced to the idea of proofs, and you actually proved many statements, especially in geometry. Recall that a proof is made up of several mathematical statements, each of which is logically deduced from a previous statement in the proof, or from a theorem proved earlier, or an axiom, or the hypotheses. The main tool, we use in constructing a proof, is the process of deductive reasoning.

We start the study of this chapter with a review of what a mathematical statement is. Then, we proceed to sharpen our skills in deductive reasoning using several examples. We shall also deal with the concept of negation and finding the negation of a given statement. Then, we discuss what it means to find the converse of a given statement. Finally, we review the ingredients of a proof learnt in Class IX by analysing the proofs of several theorems. Here, we also discuss the idea of proof by contradiction, which you have come across in Class IX and many other chapters of this book.

A1.2 Mathematical Statements Revisited
Recall, that a ‘statement’ is a meaningful sentence which is not an order, or an exclamation or a question. For example, ‘Which two teams are playing in the

Please refer to attached file for NCERT Class 10 Maths Proofs In Mathematics

Tags: 

 


Click to View or Download pdf file
Click for more Mathematics Study Material

Latest NCERT & CBSE News

Read the latest news and announcements from NCERT and CBSE below. Important updates relating to your studies which will help you to keep yourself updated with latest happenings in school level education. Keep yourself updated with all latest news and also read articles from teachers which will help you to improve your studies, increase motivation level and promote faster learning

Moderation of Marks Class 11 and 12 Board Exams

The portal for moderation and finalization of results for Class-12 is being opened from 16.07.2021 to 22.07.2021. As Board has to declare the result latest by 31.07.2021, schools have been requested to follow the schedule strictly and complete the moderation within...

CBSE Class 12 Evaluation Criteria 2021

SUMMARY OF THE POLICY FOR TABULATION OF MARKS FOR CLASS XII BOARD EXAMINATIONS 2021   1(a) Due to cancellation of the Board examinations, the assessment of theory portion of 80/70/60/50/30 marks will be done by the school based on the following:     Class...

CBSE Board Examination Scheme of Assessment 2021 2022

A. Academic session to be divided into 2 Terms with approximately 50% syllabus in each term: The syllabus for the Academic session 2021-22 will be divided into 2 terms by following a systematic approach by looking into the interconnectivity of concepts and topics by...

CBSE asks schools to load Class 12 Internal Assessment Marks

This has a reference to the letter no CBSE/COORD/2021 dated 11.02.2021 regarding conduct of the School-Based Assessment (Internal Assessment/Practical/ Project) of Class-XII and uploading the marks by 11.06.2021. It has been observed that some schools have not been...

FAQs on Policy for Tabulation of Marks for Class 10 Board Exams

ON POLICY Question.1 How CBSE will declare the result of Class-X? Answer. Results of Class X Board will be declared on the basis of an objective criterion developed by the Board vide Notification no.CBSE/CE/2021 dated 01.05.2021. Question.2. If any candidate is not...

×
Studies Today