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.Misc.Q.6

Check the validity of the statements given below by the method given against it.

(1) p: The sum of an irrational number and a rational number is irrational (by contradiction method).

(2) q: If n is a real number with n > 3, then n² > 9 (by contradiction method).

(1) The given statement is as follows.

p: the sum of an irrational number and a rational number is irrational.

Let us assume that the given statement, p, is false. That is, we assume that the sum of an

irrational number and a rational number are rational.

Therefore √a + = , where √a is irrational and b, c, d, e are integers.

– is a rational number and √a is an irrational number.

This is a contradiction. Therefore, our assumption is wrong.

Therefore, the sum of an irrational number and a rational number is rational.

Thus, the given statement is true.

(2) The given statement, q, is as follows.

If n is a real number with n > 3, then n² > 9.

Let us assume that n is a real number with n > 3, but n² > 9 is not true.

That is, n² < 9

Then, n > 3 and n is a real number.

Squaring both the sides, we obtain n² > 3²

=> n² < 9, which is a contradiction, since we have assumed that n² < 9.

Thus, the given statement is true. That is, if n is a real number with n > 3,

then n² > 9.

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 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.
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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.