Home
Class 11
MATHS
If R={(x , y): x , y in Z , x^2+y^2lt=4...

If `R={(x , y): x , y in Z , x^2+y^2lt=4}` is a relation on Z,`\ ` then domain of `R` is `{0,1,2}` b. `{0,-1,-2}` c. `{-2,-1,0,1,2}` d. none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|85 Videos

  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

If R={(x ,\ y): x^2+y^2lt=4; x ,\ y in Z} is a relation on Z , write the domain of R .

If R = {(x, y): x, y in z, x^2 + y^2 le 4} is a relation defined on the set z of integers, then write domain and range.

The value of |[yz, z x,x y],[ p,2q,3r],[1, 1, 1]| , where x ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a. -1 b. 0 c. 1 d. none of these

The distance between the planes 2x+2y-z+ 2=0\ a n d\ 4x+4y-2z+5=0 is a. 1/2 b. 1/4' c. 1/6 d. none of these

The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z are respectively, pth, (2q) th, and (3r) th terms of an H.P. is a. -1 b. 0 c. 1 d. none of these

If x > 0, y > 0, z>0 and x + y + z = 1 then the minimum value of x/(2-x)+y/(2-y)+z/(2-z) is:

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in GP and D=0,\ t h e n\ y\ is equal to- a. 1 b. 2 c. 4\ d. none of these

Comprehension 1 Let x ,\ y ,\ z in R^+&\ D=|xx^3x^4-1y y^3y^4-1z z^3z^4-1| If x!=y!=z\ &\ x ,\ y ,\ z are in A.P. and D=o,\ t h e n\ 2x^2z+x^2z^2 is equal to a. 1 b. 2 c. 3\ d. none of these

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero solution, then the possible value of k are a. -1,2 b. 1,2 c. 0,1 d. -1,1

If x!=y!=z and |x x^2 1+x^3 y y^2 1+y^3 z z^2 1+z^3|=0 , then prove that x y z=-1 .

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is ...

    Text Solution

    |

  2. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ i...

    Text Solution

    |

  3. If A={1,2,4},\ B={2,4,5}a n d\ C={2,5},\ write (A-B)xx(B-C)dot

    Text Solution

    |

  4. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

    Text Solution

    |

  5. If R is a relation defined on the set Z of integers by the rule (x , y...

    Text Solution

    |

  6. If R={(x ,\ y): x^2+y^2lt=4; x ,\ y in Z} is a relation on Z , write ...

    Text Solution

    |

  7. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  8. Let R={(x , y): x , y in Z ,\ y=2x-4} If\ (a,-2)\ a n d\ (4, b^2) in...

    Text Solution

    |

  9. If R={(2,1),\ (4,7),\ (1,-2)...} , then writhe the linear relation bet...

    Text Solution

    |

  10. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

    Text Solution

    |

  11. If R={(x , y): x , y in W ,2x+y=8} ., then write the domain and range...

    Text Solution

    |

  12. Let A\ a n d\ B be two sets such that n(A)=3\ a n d\ n(B)=2. If (x , 1...

    Text Solution

    |

  13. Let A={1,2,3},\ B={1,3,5}dot If relation R from A to B is given by R={...

    Text Solution

    |

  14. If A={1,2,3},\ B="{"1,4,6,9"]"a n d\ R is a relation from A to B defin...

    Text Solution

    |

  15. If R={(x , y): x , y in Z , x^2+y^2lt=4} is a relation on Z,\ then d...

    Text Solution

    |

  16. A relation varphi from C\ to\ R is defined by xvarphiyhArr|x|=ydot Whi...

    Text Solution

    |

  17. Let R be a relationon N defined by x+2y=8. The domain of R is (a...

    Text Solution

    |

  18. R is a relation from {11,12,13} to {8,10,12} defined by y=x-3 Then ...

    Text Solution

    |

  19. Let R be a relation from a set A to a set B, then

    Text Solution

    |

  20. If R is a relation from a finite set A having m elements to a finite s...

    Text Solution

    |