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NCERT Solutions for Exercise 14.2 Class 11 Maths Chapter 14 - Mathematical Reasoning
Edited By Sumit Saini | Updated on Jul 13, 2022 05:37 PM IST
NCERT Solutions for Class 11 Maths chapter 14 exercise 14.2 introduces questions related to writing of the negation of a statement, finding of component statements of given compound statements etc. In previous Classes of Maths, students have already read the basic Mathematical Reasoning but in this chapter problems are more application based. Exercise 14.2 Class 11 Maths requires only basic common sense to solve the questions.
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Solving NCERT syllabus questions Class 11 Maths chapter 14 exercise 14.2 can be a fun exercise for some of the students as it requires logical reasoning and application of basic concepts only. Although the weightage of this exercise is not much in the final examination, it must be attempted to score marks if there comes any question. Also students can refer to the following exercise of NCERT for further information about upcoming exercises.
- Mathematical reasoning Exercise 14.1
- Mathematical Reasoning Exercise 14.3
- Mathematical Reasoning Exercise 14.4
- Mathematical Reasoning Exercise 14.5
- Mathematical Reasoning Miscellaneous Exercise
Mathematical Reasoning Class 11 Chapter 14-Exercise: 14.2
Question:1(i) Write the negation of the following statements:
Chennai is the capital of Tamil Nadu.
Answer:
Chennai is not the capital of Tamil Nadu.
Or
It is false to say that Chennai is the capital of Tamil Nadu.
Or
It is not the case that Chennai is the capital of Tamil Nadu.
Question:1.(ii) Write the negation of the following statements:
is not a complex number
Answer:
is a complex number.
Or
It is false to say that is not a complex number.
Or
It is not the case that is not a complex number.
Question:1.(iii) Write the negation of the following statements:
All triangles are not equilateral triangle.
Answer:
All triangles are equilateral triangle.
Or
It is false to say that all triangles are not equilateral triangle.
Or
It is not the case that all triangles are not equilateral triangle.
Question:1.(iv) Write the negation of the following statements:
The number 2 is greater than 7.
Answer:
The number 2 is not greater than 7.
Or
It is false to say that the number 2 is greater than 7.
Or
It is not the case that the number 2 is greater than 7.
Question:1.(v) Write the negation of the following statements:
Every natural number is an integer.
Answer:
Every natural number is not an integer.
Or
It is false to say that every natural number is an integer.
Or
It is not the case that every natural number is an integer.
Question:2.(i) Are the following pairs of statements negations of each other:
The number x is not a rational number.
The number x is not an irrational number.
Answer:
p: The number x is not a rational number.
r: The number x is not an irrational number.
The negation of p is: The number x is a rational number, which is the same as statement r.
The negation of r is: The number x is an irrational number, which is the same as statement p.
Hence the pairs of statements are negations of each other.
Question:2(ii) Are the following pairs of statements negations of each other:
The number x is a rational number.
The number x is an irrational number.
Answer:
p: The number x is a rational number.
r: The number x is an irrational number.
The negation of p is: The number x is not a rational number, which is the same as statement r.
The negation of r is: The number x is not an irrational number, which is the same as statement p.
Hence the pairs of statements are negations of each other.
Answer:
The component statements are
p: Number 3 is prime.
r: Number 3 is odd.
Both statements are true. Here the connecting word is ‘or’.
Question:3.(ii) Find the component statements of the following compound statements and check whether they are true or false.
All integers are positive or negative.
Answer:
The component statements are:
p: All integers are positive.
r: All integers are negative.
Both the components statements are false. Here the connecting word is ‘or’.
Question:3.(iii) Find the component statements of the following compound statements and check whether they are true or false.
100 is divisible by 3, 11 and 5.
Answer:
The component statements are:
p: 100 is divisible by 3.
q: 100 is divisible by 11.
r: 100 is divisible by 5.
First two statements are false and the last statement is true. Here the connecting word is ‘and’.
More About NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.2
The NCERT Class 11 Maths chapter Mathematical Reasoning is an exercise which requires only basic understanding of the concepts which are asked in the exam like probability etc. Also It does not have much application in other chapters hence if one is not good at other chapters can strengthen this chapter to score well in the exam. Exercise 14.2 Class 11 Maths is one of the most easier and interesting exercises of Class 11. Hence NCERT solutions for Class 11 Maths chapter 14 exercise 14.2 must be explored once to get an idea about the types of questions asked in the exam.
Also Read| Mathematical Reasoning Class 11 Notes
Benefits of NCERT Solutions for Class 11 Maths Chapter 14 Exercise 14.2
The Class 11th Maths chapter 14 exercise is prepared by expert faculties.
Exercise 14.2 Class 11 Maths needs only common sense to solve the questions. Hence it must be attempted by the students.
Class 11 Maths chapter 14 exercise 14.2 solutions provided here are holistic in manner.
Also see-
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Frequently Asked Questions (FAQs)
1. Which topics are covered in exercise 14.2 Class 11 Maths?
Basic reasoning question, negation, probability related questions are asked in the exercise 14.2 Class 11 Maths.
2. Does this chapter 14 have linkage to other chapters ?
No, most concepts are new. So it doesn't require prior knowledge.
3. Can this chapter be understood in one day ?
Yes, since questions are very common. Hence 1 day is sufficient for this chapter.
4. What is the difficulty level of the questions asked in this chapter ?
Most of the questions are relatively easier to understand.
5. Are there any formulas to mug up in this chapter ?
No, there are no formulas to mug up in this chapter.
6. How many questions are there in the exercise 14.2 Class 11 Maths ?
There are 3 main questions and all the questions have subparts in the range of 2 to 3.
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