Home
Class 12
MATHS
On R, the set of real numbers, a relatio...

On R, the set of real numbers, a relation p is defined as 'apb if and only if `1+ab>0`'. Then

A

p is an equivalence relation

B

p is reflexive and transitive but not symmetric

C

p is reflexive and symmetric but not transitive

D

p is only symmetric

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -2|7 Videos

  • QUESTION PAPER 2017

    CHHAYA PUBLICATION|Exercise UNIT -3|21 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

  • QUESTIONS PAPER -2019

    CHHAYA PUBLICATION|Exercise WBJEE 2019|45 Videos

Similar Questions

Explore conceptually related problems

On the set R of real numbers, the relation rho is defined by x rho y, (x, y) in R .

A relation rho on the set of real number R is defined as follows : xrhoy if and only if xygt0 . Then which of the following is/are true?

A relation rho on the set of real number R is defined as follows: xrhoy if and only if xy gt 0 Then which of the following is /are true?

On R, a relation p is defined by xpy if and only if x-y is zero or irrational. Then

Let the relation p be defined on R as apb iff 1+abgt0 . Then

On the set R of real numbers we define xPy if and only if xy ge0 . Then the relation P is

For any two real number a and b ,we define a R b if and only if sin^2a + cos^2b = 1 . The relation R is

Let a relation R_1 on the set R of real numbers be defined as (a , b) in R_1 1+a b >0 for all a , b in Rdot Show that R_1 is reflexive and symmetric but not transitive.

For any two real numbers a and b , we define aRb if and only if sin ^(2) a +cos ^(2) b=1 , the relation R is -