NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Exercise 14.1

Access easy-to-understand NCERT solutions for Class 11 Maths, Chapter 14, including Exercise 14.1, crafted by experienced educators. These solutions, aligning with NCERT (CBSE) guidelines, are available for free download in a PDF format. They are designed to help you thoroughly review the chapter, improve your understanding, and aim for better grades in your exams. You can also sign up to get all the solutions sent directly to your email, making your study process more convenient and effective.

NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning Exercise 14.1

For CBSE Class 11 students, the NCERT solutions for Maths Class 11 Exercise 14.1 are a great resource for exam study. This chapter contains numerous exercises, and we provide the solutions for the Miscellaneous exercise in an easy-to-download PDF on our site or app.

Created by Infinity Learn’s expert team, these solutions are carefully crafted to meet all CBSE guidelines. They are ideal for any Class 11 student who has a good grasp of the Maths textbook and exercises. Understanding these solutions can help students score high in their final exams. They offer insights into the types of questions that might appear in the exam and the importance of this chapter in terms of marks. This makes it easier for students to prepare effectively for their exams.

Exercise 14.1 Solutions

1. Which of the following sentences are statements? Give reasons for your answer.

1. There are 35 days in a month.
2. Mathematics is difficult.
3. The sum of 5 and 7 is greater than 10.
4. The square of a number is an even number.
5. The sides of a quadrilateral have equal lengths.
6. Answer this question.
7. The product of (–1) and 8 is 8.
8. The sum of all interior angles of a triangle is 180°.
9. Today is a windy day.
10. All real numbers are complex numbers.

Answers:

1. This is not a statement. While it is a declarative sentence, it’s universally false since no month has 35 days according to the Gregorian calendar.
2. This is not a statement. This sentence is subjective and varies from person to person. What might be difficult for one might not be for another.
3. This is a statement. It is a declarative sentence that can be proven true. 5 + 7 = 12, which is indeed greater than 10.
4. This is not a statement. It’s not universally true or false because it depends on the number. For example, the square of 2 (an even number) is 4 (even), but the square of 3 (an odd number) is 9 (odd).
5. This is not a statement. This is true for some quadrilaterals like a square, but not for all, like a rectangle.
6. This is not a statement. It’s an imperative sentence (a command) and cannot be classified as true or false.
7. This is a statement, and it is false. The product of (-1) and 8 is -8.
8. This is a statement. It’s a factual, declarative sentence and is universally true for triangles.
9. This is not a statement in this context. It’s a declarative sentence but can’t be classified as universally true or false without additional context (such as the specific day and location).
10. This is a statement, and it is true. In mathematics, every real number is a complex number with an imaginary part equal to zero.

2. Give three examples of sentences which are not statements. Give reasons for the answers.

1) Close the door.

Reason: This sentence is a command, not a declarative sentence. Statements in mathematics are declarative sentences that are either true or false. A command or imperative sentence like this one does not express a fact or proposition that can be true or false.

2) Is it raining outside?

Reason: This is a question. Questions cannot be classified as statements because they do not declare anything to be true or false. Instead, they seek information or clarification and are not propositions with a truth value.

3) Beauty lies in the eyes of the beholder.

Reason: This sentence expresses a subjective opinion or perspective, not an objective fact. In mathematics, a statement should be something that can be clearly defined as true or false. Subjective statements that vary from person to person and depend on personal views or experiences do not qualify as mathematical statements.

NCERT Class 11 Maths Solutions Chapter 14 Exercises

Exercise 14.1

Exercise 14.2

Exercise 14.3

Exercise 14.4

Exercise 14.5

Miscellaneous Exercise

In addition to the answers provided for Class 11 Maths Chapter 14, Exercise 14.1, this chapter includes many other exercises filled with a variety of questions. Our team of experts has worked on solving all these questions, ensuring that they are of great quality and useful for exam preparation. Understanding every topic in the textbook and practicing the given exercise questions are key steps to excel in the class. Don’t wait any longer to start preparing for your exams. You can find the solutions for Class 11 Maths Chapter 14, Exercise 14.1 on the Infinity Learn website. These solutions are also available for download on the Infinity Learn app if you have it on your phone. A great feature of these solutions is that they are accessible both online and offline.

Also Check:

• Chapter 1 Sets
• Chapter 2 Relations and Functions
• Chapter 3 Trigonometric Functions
• Chapter 4 Principle 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 Three-Dimensional Geometry
• Chapter 13 Limits and Derivatives
• Chapter 14 Mathematical Reasoning
• Chapter 15 Statistics
• Chapter 16 Probability

FAQs on NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.1

What is the significance of Mathematical Reasoning in Chapter 14 of Class 11 Maths?

Mathematical Reasoning is an important chapter in the CBSE Maths syllabus for Class 11 students since it develops their logical abilities and reasoning skills. Like abilities are essential for competitive exams such as JEE, NEET, and others. Students can put their understanding of the subject to use in this chapter.

Where can I find NCERT Solutions for Chapter 14 Mathematical Reasoning in Class 11 Maths Reasoning?

In terms of exercise, On Infinity Learn, a trusted e-learning portal, you can find NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning. It's accessible in PDF format, which you can have for free. On Infinity Learn's website, students can get free PDF solutions for NCERT Chapter 14 Mathematical Reasoning. Expert tutors have created the solutions. Students must complete all of the problems in the chapter exercises, and if they have any questions, they can use the Infinity learns website for answers.

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The most complete and well-designed study material is Infinity Learn's NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning. It can be downloaded for free in PDF format from the internet. Expert tutors provide step-by-step explanations in the NCERT Solutions for Class 11 Mathematics Chapter 14 Mathematical Reasoning. It assists students in better practicing the chapter, evaluating their understanding of the chapter, and aiding in effective revision.