Home
Class 12
MATHS
Find the domain and range of each of the...

Find the domain and range of each of the following relations :
`S={(x,y):x, y in NN and x+3y=12}`.

Text Solution

Verified by Experts

The correct Answer is:
Dom. `(S)={9,6,3} and "Range "(S)={1,2,3}`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple Correct answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Find the domain and range of each of the following relations : R_(3) ={ (x,y) :x,y in N N , and 2x+y=41 }

Find the domain and range of each of the following relations : R={(x,y):x " is an integer" and |x| lt3 and y=|x-3|}

Find the domain and range of each of the following relations : R={ (x,y) :x is an integer and |x| lt 3 and y= |3| }

Find the domain and range of each of the following relations : R_(2) ={(x,y) : x in N N ,y are integers and xy =4 }

Find the domain and range of each of the following relations : R_2={(x,y):x and y " are integer and " xy=4}

Find the domain and range of each of the following relations : R_(4) ={(x,y) :x and y are integers and x^(2)+y^(2) = 25 }

Find the domain and range of each of the following relations : R_(5) ={(x-5,2x-7) : x is an odd natural number less than 10 }

Find the domain and range of each of the following relations : R_(6)={(x, x^(2)-31) :x is a prime number less than 12 }

Find the domain and range of the following function : sqrt((x-1)(3-x))

Find the domain of definitions of each of the following functions : y=sin^(-1)3x

CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
  1. Find the domain and range of each of the following relations : R6={(...

    Text Solution

    |

  2. Find the domain and range of each of the following relations : R={(x...

    Text Solution

    |

  3. Find the domain and range of each of the following relations : S={(x...

    Text Solution

    |

  4. A right circular cylinder is inscribed in a sphere of radius r. Expr...

    Text Solution

    |

  5. A right circular cone is inscribed in a sphere of radius a. Express ...

    Text Solution

    |

  6. A rectangle of area y cm^2 is inscribed in a circle of radius 25 cm. I...

    Text Solution

    |

  7. If F(x)=((x-b)(x-c))/((a-b)(a-c))+((x-c)(x-a))/((b-c)(b-a))+((x-a)(x-b...

    Text Solution

    |

  8. If f(x)=(x-1)/(x+1), show that (f(a)-f(b))/(1+f(a)f(b))=(a-b)/(1+ab)

    Text Solution

    |

  9. If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

    Text Solution

    |

  10. If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

    Text Solution

    |

  11. If y=f(x) =(px+q)/(rx-p), show that x = f(y).

    Text Solution

    |

  12. If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find the value of m.

    Text Solution

    |

  13. If y=f(x)=(x-3)/(2x+1)and z=f(y), express z as a function of x.

    Text Solution

    |

  14. If F(x)=(4x-5)/(3x-4), prove that F{F(x)} = x.

    Text Solution

    |

  15. If f(x)=(a-x^n)^(1/n)," where "a gt0 and n is a positive integer, show...

    Text Solution

    |

  16. If phi(x)=(1-x)/(1+x) prove that phi{phi(x)}=x

    Text Solution

    |

  17. If phi(x)=(1-x)/(1+x) prove that phi{phi(cottheta)}=cottheta

    Text Solution

    |

  18. If f(x)=tan^-1x, find the relation by which f(x),f(y) and f(x+y) are...

    Text Solution

    |

  19. The function phi(x) is defined as follows: phi(x)=4, " when x is rat...

    Text Solution

    |

  20. Let f(x)=2x^2-3," when "x le2 =2x+1," when "2ltxle3 =(1)/(2x-1)," ...

    Text Solution

    |