NCERT solution Class 11 mathematical reasoning

NCERT Solutions

Class 11 Maths

Mathematical Reasoning

NCERT Questions

Ex.14.1 Q.1
Ex.14.1 Q.2
Ex.14.2 Q.1
Ex.14.2 Q.2
Ex.14.2 Q.3
Ex.14.3 Q.1
Ex.14.3 Q.2
Ex.14.3 Q.3
Ex.14.3 Q.4
Ex.14.4 Q.1
Ex.14.4 Q.2
Ex.14.4 Q.3
Ex.14.4 Q.4
Ex.14.5 Q.1
Ex.14.5 Q.2
Ex.14.5 Q.3
Ex.14.5 Q.4
Ex.14.5 Q.5
Ex.Misc. Q.1
Ex.Misc. Q.2
Ex.Misc. Q.3
Ex.Misc.Q.4
Ex.Misc.Q.5
Ex.Misc.Q.6
Ex.Misc.Q.7

Ex.14.5 Q.4

By giving a counter example, show that the following statements are not true.

(1) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.

(2) q: The equation x² – 1 = 0 does not have a root lying between 0 and 2.

(1) The given statement is of the form “if q then r”.

q: All the angles of a triangle are equal. r: The triangle is an obtuse-angled triangle.

The given statement p has to be proved false.

For this purpose, it has to be proved that if q, then ∼r.

To show this, angles of a triangle are required such that none of them is an obtuse angle.

It is known that the sum of all angles of a triangle is 180°. Therefore, if all the three angles

are equal, then each of them is of measure 60°, which is not an obtuse angle.

In an equilateral triangle, the measure of all angles is equal.

However, the triangle is not an obtuse-angled triangle.

Thus, it can be concluded that the given statement p is false.

(2) The given statement is as follows:

q: The equation x² – 1 = 0 does not have a root lying between 0 and 2.

This statement has to be proved false. To show this, a counter example is required.

Consider x² – 1 = 0

=> x² = 1

=> x = ± 1

One root of the equation x² – 1 = 0, i.e., the root x = 1, lies between 0 and 2.

Thus, the given statement is false.

Mathematical Reasoning Class 11 Maths NCERT Chapter 14 NCERT Solutions

Solving NCERT textbook questions of Mathematical Reasoning Class 11 Maths NCERT Chapter 14 is a crucial step to gauge your understanding of the concepts. It provides you with an opportunity to assess your grasp of the material after learning each chapter. We have already provided solutions to all the exercises in the NCERT textbook of Class 11 Maths Mathematical Reasoning, available in various formats such as video, text, and downloadable PDFs. If you need assistance with any of the NCERT questions or any other academic topics, feel free to ask in the “Ask Questions” section of LearnoHub.com.

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Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
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Refer to Solution Video (if needed): If you encounter difficulty or are unable to solve a question, you can refer to the NCERT solution video on Mathematical Reasoning Class 11 Maths NCERT Chapter 14 to get a step-by-step explanation of the correct approach. Pay attention to the reasoning and methodology used in the video.
Solve Again Yourself: Once you've understood the solution, attempt to solve the question again by yourself. Repetition and practice solidify your understanding of the concepts and improve retention.
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Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 11 Maths Mathematical Reasoning Online Test on LearnoHub.com.
Review and Revise: Regularly review the concepts and solutions you've learned. Revise your notes and practice regularly to retain the knowledge effectively. You may refer Mathematical Reasoning Class 11 Maths Notes.
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NCERT solutions of Mathematical Reasoning Class 11 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 11 Maths Mathematical Reasoning NCERT solutions.