Home
Class 12
MATHS
The relation R defined in A= {1, 2, 3} b...

The relation R defined in `A= {1, 2, 3}` by `aRb` if `|a^2-b^2| leq 5`. Which of the following is faise

A

`R={(1, 1), (2, 2), (3,3), (2, 1), (1,2), (2,3),(3,2)}`

B

`R^(-1)=R`

C

Domain of R={1,2,3}

D

Range of `R={5}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 3: Composite Function and Relation, Inverse of a Function, Binary Operations)|27 Videos
  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos
  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The relation R defined in A={1,2,3} by aRb if |a^(2)-b^(2)|<=5. Which of the following is faise

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b): |a^(2)-b^(2)|lt16} is given by

If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^(2)-b^(2)|lt 8}. Then, R is given by …….. .

A relation R in S = {1, 2, 3} is defined as R = {(1, 1),(2,2),(1,2),(3,3)}. Which of the following elements (s) must be added to make R an equivalence relation ?

Let A be a set of compartments in a train. Then the relation R defined on A as aRb iff ''a and b have the link between them'', then which of the following is true for R?

The relation R defined on the set A = {1,2,3,4, 5} by R ={(x, y)} : |x^(2) -y^(2) | lt 16 } is given by

DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-2: CONCEPT APPLICATOR
  1. Let f(x)=sinz and g(z)=cos z. If denotes a composition of functions,...

    Text Solution

    |

  2. If f: R to R, g , R to R be two funcitons, and h(x) = 2 "min" {f(x) - ...

    Text Solution

    |

  3. The relation R defined in A= {1, 2, 3} by aRb if |a^2-b^2| leq 5. Whi...

    Text Solution

    |

  4. Let R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0}, where N is the set...

    Text Solution

    |

  5. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  6. If f(x)=x/(x-1), then (fofofo......of)(x) is equal to

    Text Solution

    |

  7. Statement-1: If f:R to R and g:R to R be two functions such that f(x)...

    Text Solution

    |

  8. Which of the following functions is NOT one-one ? 1. f:R to R defined...

    Text Solution

    |

  9. If f(x)=2x+abs(x),g(x)=1/3(2x-abs(x)) and h(x)=f(g(x)), domain of unde...

    Text Solution

    |

  10. If f(x)=sqrt(3|x|-x-2) and g(x)=sinx, then domain of (fog)(x) is

    Text Solution

    |

  11. Letf: A rarr B be a function then show that f is a bijection if and on...

    Text Solution

    |

  12. Let A = N xx N and ** be the binary opertation on A defined by (a, b) ...

    Text Solution

    |

  13. If the binary operation o. is defined on the set Q^+ of all positive r...

    Text Solution

    |

  14. Find the inverse of the function: f:(-oo,1]vec[1/2,oo],w h e r ef(x)=2...

    Text Solution

    |

  15. Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q...

    Text Solution

    |

  16. Let f(x)=(x+1)^2-1, xgeq-1. Then the set {x :f(x)=f^(-1)(x)} is {0,1,(...

    Text Solution

    |

  17. Let f(x)={(2x+a",",x ge -1),(bx^(2)+3",",x lt -1):} and g(x)={(x+4",...

    Text Solution

    |

  18. Let f :(4,6) uu (6,8) be a function defined by f(x) = x+[(x)/(2)] whe...

    Text Solution

    |

  19. Let [x] denot the greatest integer le x. If f (x)= [x] and g(x)=|x| th...

    Text Solution

    |

  20. Let f(x)=a x+ba n dg(x)=c x+d , a!=0. Assume a=1,b=2. If (fog)(x)=(gof...

    Text Solution

    |