14 गणितीय तर्क
अभ्यास 01
Question:
Which of the following sentences are statements? Give reasons for your answer (i) There are 35 days in a month (ii) Mathematics is difficult (iii) The sum of 5 and 7 is greater than 10 (iv) The square of a number is an even number (v) The sides of a quadrilateral have equal length (vi) Answer this question (vii) The product of (−1) and 8 is 8 (viii) The sum of all interior angles of a triangle is 180∘ (ix) Today is a windy day (x) All real numbers are complex numbers
Answer:
(i) There are 35 days in a month - Statement (ii) Mathematics is difficult - Not a statement (iii) The sum of 5 and 7 is greater than 10 - Statement (iv) The square of a number is an even number - Not a statement (v) The sides of a quadrilateral have equal length - Statement (vi) Answer this question - Not a statement (vii) The product of (−1) and 8 is 8 - Statement (viii) The sum of all interior angles of a triangle is 180∘ - Statement (ix) Today is a windy day - Not a statement (x) All real numbers are complex numbers - Not a statement
Question:
Give three examples of sentences which are not statements Give reasons for the answers
Answer:
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What time is it? - This is not a statement because it is a question.
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Let’s go to the park! - This is not a statement because it is a suggestion.
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Wow! - This is not a statement because it is an expression of emotion.
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