Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 12-science Answered

s
question image
Asked by jiyag9397 | 22 Aug, 2020, 05:14: PM
answered-by-expert Expert Answer
A={1, 2, 3, ..., 13, 14}, R={(x, y):3x-y=0}
straight i. For space open parentheses straight a comma space straight a close parentheses element of straight R comma space 3 straight a minus straight a equals 2 straight a equals 0 space only space for space straight a equals 0 space and space for space straight a not equal to 0 comma space 3 straight a minus straight a not equal to 0 So comma space open parentheses straight a comma space straight a close parentheses not an element of straight R space for all straight a element of straight A Thus comma space straight R space is space not space reflexive ii. Let space open parentheses straight a comma space straight b close parentheses element of straight R space rightwards double arrow space 3 straight a minus straight b equals 0 left parenthesis straight b comma space straight a right parenthesis element of straight R space if space 3 straight b minus straight a equals 0 space Now comma space 3 straight a minus straight b equals 0 space and space 3 straight b minus straight a equals 0 space are space true space only space for space straight a equals 0 space and space straight b equals 0 Therefore comma space open parentheses straight a comma space straight b close parentheses element of straight R space rightwards double arrow left parenthesis straight b comma space straight a right parenthesis element of straight R space does space not space hold space for all space straight a comma space straight b element of straight A Thus comma space straight R space is space not space symmetric iii. Let space left parenthesis straight a comma space straight b right parenthesis comma left parenthesis straight b comma space straight c right parenthesis element of straight R rightwards double arrow 3 straight a minus straight b equals 0 space and space 3 straight b minus straight c equals 0 Consider space 3 straight a minus straight c equals straight b minus 3 straight b equals negative 2 straight b not equal to 0 space for space straight b not equal to 0 So comma space left parenthesis straight a comma space straight b right parenthesis comma space left parenthesis straight b comma space straight c right parenthesis element of straight R space does space not space imply space left parenthesis straight a comma space straight c right parenthesis element of straight R Thus comma space straight R space is space not space transitive.
Answered by Renu Varma | 25 Aug, 2020, 10:50: AM

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 12-science - Maths
doubt
question image
Asked by jhaprabhat920 | 05 Feb, 2024, 10:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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
question image
Asked by aiswaryaanil0009 | 01 Feb, 2024, 08:36: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
A is b' mother. C is b's father. Relation between A and C  
Asked by amandwivesh | 25 Oct, 2023, 11:57: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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
ANSWERED BY EXPERT ANSWERED BY EXPERT
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
Asked by iamujjy | 21 May, 2023, 04:55: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
how to score 60+ marks in maths in class 12 boards
Asked by shauryacho40 | 08 Apr, 2021, 10:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
Q - 5
question image
Asked by majethiyarishat9566.12sdatl | 27 Oct, 2020, 11:51: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 12-science - Maths
multiple choice questions
Asked by ksanjeev8214 | 29 Sep, 2020, 01:34: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
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
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×