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CBSE Class 12-science Answered

please help me to solve it in detail....
 
Asked by nitishkrnehu09 | 16 Nov, 2017, 07:57: AM
answered-by-expert Expert Answer
begin mathsize 16px style Consider comma space left parenthesis straight a comma straight b right parenthesis space left parenthesis straight c comma straight d right parenthesis comma space left parenthesis straight e comma straight f right parenthesis space element of space straight N cross times straight N straight a plus straight b equals straight b plus straight a space for space all space straight a comma straight b element of straight N space using space commutativity space law space of space addition space in space straight N It space is space reflexive. For space left parenthesis straight a comma straight b right parenthesis space straight R space left parenthesis straight c comma straight d right parenthesis space rightwards double arrow space straight a plus straight d equals straight b plus straight c space rightwards double arrow space straight d plus straight a equals straight c plus straight b Hence space it space is space symmetric For space left parenthesis straight a comma straight b right parenthesis space left parenthesis straight c comma straight d right parenthesis comma space left parenthesis straight e comma straight f right parenthesis space element of space straight N cross times straight N straight a plus straight d equals straight b plus straight c space and space straight c plus straight f equals straight d plus straight e rightwards double arrow straight a plus straight d plus straight c plus straight f equals straight b plus straight c plus straight d plus straight e Hence space it space is space transitive. To space find space equivalence space class space left square bracket left parenthesis 1 comma 3 right parenthesis right square bracket class space of space element space of space left parenthesis 1 comma 3 right parenthesis left parenthesis straight a comma straight b right parenthesis space straight R space left parenthesis 1 comma 3 right parenthesis space rightwards double arrow straight a plus 3 equals straight b plus 1 rightwards double arrow straight b equals straight a plus 2 space but space straight a comma straight b element of straight A space straight a comma straight b element of open curly brackets 1 comma 2 comma 3 comma 4 close curly brackets So space we space take space straight a equals 1 comma 2 comma 3 comma 4 space then space the space corresponding space values space of space straight b space are 3 comma 4 comma 5 comma 6 Equivalence space class space left square bracket left parenthesis 1 comma 3 right parenthesis right square bracket equals open curly brackets left parenthesis 1 comma 3 right parenthesis comma left parenthesis 2 comma 4 right parenthesis comma left parenthesis 3 comma 5 right parenthesis comma left parenthesis 4 comma 6 right parenthesis close curly brackets end style
Answered by Sneha shidid | 07 Dec, 2017, 02:18: PM

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CBSE 12-science - Maths
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Asked by jhaprabhat920 | 05 Feb, 2024, 10:33: AM
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CBSE 12-science - Maths
if Z is the set of all integers and R is the relation on Z defined as R ={(a, b) :a b € z and a-b is divisible by 5 } prove that x is an equivalence relation
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Asked by aiswaryaanil0009 | 01 Feb, 2024, 08:36: PM
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CBSE 12-science - Maths
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Asked by amandwivesh | 25 Oct, 2023, 11:57: PM
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CBSE 12-science - Maths
Let R be an equivalence relation defined in the set A = \{1, 2, 3, 4, 5, 6, 7, 8, 9\} by R=( (x, y) : x,ye A, x and y are either both odd or both even)Write all the equivalence classes of set A.
Asked by rginish12 | 04 Oct, 2023, 11:14: AM
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CBSE 12-science - Maths
 If B is coded =4 and D is coded 8 , E is coded 10 then what will be code of J
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CBSE 12-science - Maths
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Asked by majethiyarishat9566.12sdatl | 27 Oct, 2020, 11:51: AM
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CBSE 12-science - Maths
Hello sir can you please solve this sum  If R be a relation on set of real numbers defined by R={(x,y) : x2+ y2=0}, Find (i) R in the Roster form (ii) Domain of R (iii) Range of R.
Asked by seeni2005 | 30 Sep, 2020, 01:19: PM
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Asked by ksanjeev8214 | 29 Sep, 2020, 01:34: PM
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CBSE 12-science - Maths
Hello sir, can you explain the difference between identity and reflexive relations
Asked by seeni2005 | 29 Sep, 2020, 01:08: PM
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