Home
Class 12
MATHS
Let P be the relation defined on the se...

Let `P` be the relation defined on the set of all real numbers such that `P={(a,b) : sec^2 a-tan^2 b=1}`. Then P is

A

reflexive and symmetric but not transitive.

B

reflexive and transitive but not symmetric.

C

symmetric and transitive but not reflexive.

D

an equivalence relation.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|20 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

Let P be the relation defined on the set of all real number such that P=[(a,b):sec^(2)a-tan^(2)b=1]. Then P is:

The relation R, in the set of real number defined as R = {(a,b): a lt b} is:

Let R be the relation on the set R of all real numbers defined by a Rb Iff |a-b|<=1 Then R is

Let S be the set of all real numbers. Then the relation R= {(a,b):1+abgt0} on S is

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
  1. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  2. Let A and B be two sets containing 2 elements and 4 elements respec...

    Text Solution

    |

  3. Let P be the relation defined on the set of all real numbers such tha...

    Text Solution

    |

  4. Let f(n) =[1/3 + (3n)/100]n, whre [x] denotes the greatest integer le...

    Text Solution

    |

  5. The function f(x) =|sin 4x| + cos|2x| s a periodic function with perio...

    Text Solution

    |

  6. Let f : R to R be defined by f(x) =(|x| -1)/(|x|+1) is

    Text Solution

    |

  7. The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|...

    Text Solution

    |

  8. Let A and B be two sets containing four and two elements respective...

    Text Solution

    |

  9. In a certain town 25% families own a phone and 15% own a car, 65% fami...

    Text Solution

    |

  10. Let A={x(1),x(2),x(3)....,x(7)},B={y(1)y(2)y(3)}. The total number of ...

    Text Solution

    |

  11. If f(x)+2f((1)/(x))=3x, x ne 0 and S={x in R: f(x) = f(-x)}, " then ...

    Text Solution

    |

  12. If the function,f:[1,oo]to [1,oo] is defined by f(x)=3^(x^(x-1)), then...

    Text Solution

    |

  13. For x in R , x ne0, 1, let f(0)(x)=(1)/(1-x) and f(n+1)(x)=f(0)(f(n)...

    Text Solution

    |

  14. The function f: Rvec[-1/2,1/2] defined as f(x)=x/(1+x^2), is : Surject...

    Text Solution

    |

  15. Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...

    Text Solution

    |

  16. let f(x)=2^(10)x+1 and g(x)=3^(10)x+1. If fog(x)=x, then x is equal to

    Text Solution

    |

  17. The function f:N->N defined by f(x)=x-5[x/5] where N is a set of natur...

    Text Solution

    |

  18. Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...

    Text Solution

    |

  19. Let N denotes the set of all natural numbers. Define two binary relati...

    Text Solution

    |

  20. Consider the following two binary relations on the set A={a,b,c} R(1...

    Text Solution

    |