JEE Exam  >  JEE Questions  >  The relation R defined on the set N of natura... Start Learning for Free
The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 is
  • a)
    symmetric but not reflexive
  • b)
    only symmetric
  • c)
    not symmetric but reflexive
  • d)
    Reflexive and symmetri
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The relation R defined on the set N of natural numbers by xRy ⇔2x...
(i) xRx ⇔ 2x2 - 3x.x + x2  
∴ R is reflexive
(ii) For x = 1, y= 2; 2x2 - 3xy + y2 = 0
∴ 1 R 2 but 2.22 - 3.2.1 + 12 = 3 ≠ 0.
So, 2 is not R-related to 1.
∴ R is not symmetric. 
View all questions of this test
Most Upvoted Answer
The relation R defined on the set N of natural numbers by xRy ⇔2x...
(i) xRx ⇔ 2x2 - 3x.x + x2  
∴ R is reflexive
(ii) For x = 1, y= 2; 2x2 - 3xy + y2 = 0
∴ 1 R 2 but 2.22 - 3.2.1 + 12 = 3 ≠ 0.
So, 2 is not R-related to 1.
∴ R is not symmetric. 
Free Test
Community Answer
The relation R defined on the set N of natural numbers by xRy ⇔2x...
The question was showing 2x in place of showing x raise to the power 2
Explore Courses for JEE exam
The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer?
Question Description
The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The relation R defined on the set N of natural numbers by xRy ⇔2x2 - 3xy + y2 = 0 isa)symmetric but not reflexiveb)only symmetricc)not symmetric but reflexived)Reflexive and symmetriCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev