14 गणितीय तर्क
अभ्यास 02
Question:
Are the following pairs of statements negations of each other? (i) The number x is not a rational number The number x is not an irrational number (ii) The number x is a rational number The number x is an irrational number
Answer:
(i) No, the two statements are not negations of each other.
(ii) Yes, the two statements are negations of each other.
Question:
Find the component statements of the following compound statements and check whether they are true or false (i) Number 3 is prime or it is odd (ii) All integers are positive or negative (iii)100 is divisible by 3,11 and 5
Answer:
(i) Component statement: Number 3 is prime Answer: True
Component statement: Number 3 is odd Answer: True
(ii) Component statement: All integers are positive Answer: False
Component statement: All integers are negative Answer: False
(iii) Component statement: 100 is divisible by 3 Answer: True
Component statement: 100 is divisible by 11 Answer: True
Component statement: 100 is divisible by 5 Answer: True
Question:
Write the negation of the following statements: (i) Chennai is the capital of Tamil Nadu (ii) √2 is not a complex number (iii) All triangles are not equilateral triangle (iv) The number 2 is greater than 7 (v) Every natural number is an integer
Answer:
(i) Chennai is not the capital of Tamil Nadu (ii) √2 is a complex number (iii) All triangles are equilateral triangle (iv) The number 2 is not greater than 7 (v) Not every natural number is an integer
जेईई अध्ययन सामग्री (गणित)
01 सेट
02 संबंध एवं फलन
03 त्रिकोणमितीय फलन
04 गणितीय आगमन का सिद्धांत
05 सम्मिश्र संख्याएँ और द्विघात समीकरण
06 रैखिक असमानताएँ
07 क्रमचय और संचय
08 द्विपद प्रमेय
09 अनुक्रम और श्रृंखला
10 सीधी रेखाओं का अभ्यास
10 सीधी रेखाएँ विविध
11 शांकव खंड
12 त्रिविमीय ज्यामिति का परिचय
13 सीमाएं और डेरिवेटिव
14 गणितीय तर्क
15 सांख्यिकी
16 प्रायिकता