Subscribe to our Youtube Channel - https://you.tube/teachoo

Last updated at March 9, 2017 by Teachoo

Transcript

Example 5 Find the component statements of the following and check whether they are true or not. (i) A square is a quadrilateral and its four sides equal. The component statements are p: A square is quadrilateral. q: A square has all its sides equal. The connecting word is And . We know that a square is quadrilateral Hence p is true We know that square has all its equal Hence q is true Hence both component statement are true Example 5 Find the component statements of the following and check whether they are true or not. (ii) All prime numbers are either even or odd. The component statements are p: All prime numbers are odd numbers. q: All prime numbers are even numbers. The connecting word is or . We know that All prime number are not even Example: 3 is prime not even Hence p is false We know that All prime number are not odd Example: 2 is prime but not odd Hence q is false. Hence ,both the components statement are false. Example 5 Find the component statements of the following and check whether they are true or not. (iii) A person who has taken Mathematics or Computer Science can go for MCA. The component statements are p: A person who has taken Mathematics can go for MCA. q: A person who has taken computer science can go for MCA Here the connecting word is or . We know that A person can for MCA if he has mathematics Hence p is true. We know that a person can go for MCA if he has taken Computer Science Hence q is true. Hence both the component statement are true Example 5 Find the component statements of the following and check whether they are true or not. (iv) Chandigarh is the capital of Haryana and UP. The component statements are p: Chandigarh is the capital of Haryana. q: Chandigarh is the capital of UP. Here the connecting word is and We know that capital of Haryana is Chandigarh Hence p is true. We know that the capital of UP. is not Chandigarh Hence q is false Example 5 Find the component statements of the following and check whether they are true or not. (v) 2 is a rational number or an irrational number. The component statements are p: 2 is a rational number. q: 2 is an irrational number. Here the connecting word is or . We know that 2 is not rational number Hence p is not true. We know that 2 is an irrational number Hence q is not true. Example 5 Find the component statements of the following and check whether they are true or not. (vi) 24 is a multiple of 2, 4 and 8. The component statements are p: 24 is a multiple of 2. q: 24 is a multiple of 4. r: 24 is a multiple of 8. The connecting words are and . We know that 24 is a multiple of 2 (24 = 2 12) Hence p is true We know that 24 is a multiple of 4 (24 = 4 6) Hence q is true We know that 24 is a multiple of 8 (24 = 8 3) Hence r is true All three statement true

Examples

Example 1
Important

Example 2

Example 3

Example 4

Example 5 Important You are here

Example 6

Example 7 Important

Example, 8 Important

Example 9

Example 10

Example 11

Example 12

Example 13 Important

Example 14 Important

Example 15

Example 16

Example 17

Example 18 Important

Example 19 Important

Example 20 Important

Chapter 14 Class 11 Mathematical Reasoning

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.