Home
Class 12
MATHS
If set A and B are defined as A = ...

If set A and B are defined as
`A = {(x,y)|y = 1/x, 0 ne x in R}, B = {(x,y)|y = -x , x in R,}`. Then

A

`A cap B=A`

B

`A cup B=B`

C

`A cup B= phi`

D

`A cup B-A`

Text Solution

Verified by Experts

The correct Answer is:
C
For `A cap B`, We have
`-x=1/x`
`rArr -x^2 = 1 `
`rArr x^ 2 =-1 ` which is not possible
`therefore A cap B = phi `
Promotional Banner

Topper's Solved these Questions

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Archieves|1 Videos

  • SET THEORY AND REAL NUMBER SYSTEM

    CENGAGE|Exercise Exercise 1.5|12 Videos

  • SEQUENCE AND SERIES

    CENGAGE|Exercise Question Bank|1 Videos

  • SETS AND RELATIONS

    CENGAGE|Exercise Question Bank|3 Videos

Similar Questions

Explore conceptually related problems

If A= {(x,y) : y = e^(x), x in R } and B = { (x,y) : y = e^(-x), x in R } then n (A cap B ) is

Two dice are tossed, Find whether the following events A and B are independent. A = {(x, y) : x + y = 11}, B = {(x, y) : x ne 5} . Where (x, y) denote a typical sample point.

If A = { (x,y) : y = sin x, x in R } and B = { (x,y) : y = cos x, x in R} then A cap B contains

If A={(x,y):y=sinx,x inR} and B={(x,y):y=cosx,x inR} then AcapB contains

If A={(x,y)/y=e^x.x in [0,oo)} and B={(x,y)/y=sinx, x in [0,oo)} then n(AcapB) is?

If A ={(x,y): y=e^(x), x epsilon R} and B={(x,y):y=e^(-x), x epsilon R) then n(AcapB) is _________

Let N be the set of natural numbers and the relation R be defined on N such that R={(x,y): y=2x,x,y in N }. what is the domain codomain and range of R ? Is this relation a functions ?

CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Exercises
  1. Let F(1) be the set of parallelograms, F(2) the set of rectangle , F(...

    Text Solution

    |

  2. If n (A) =3 ,n(B)=6 and A sube B .Then the number of elements in A cu...

    Text Solution

    |

  3. If set A and B are defined as A = {(x,y)|y = 1/x, 0 ne x in R},...

    Text Solution

    |

  4. Two sets have m and k elements. If the total number of subsets of the ...

    Text Solution

    |

  5. Let A and B be two non empty subsets of a set X such that A is not a s...

    Text Solution

    |

  6. If a N = { ax : x in N} then the set 4N cap 6N is

    Text Solution

    |

  7. The set (A cap B')cup (B cap C) equals

    Text Solution

    |

  8. For sets (A cup B) cup ( A cap B)equals

    Text Solution

    |

  9. The set (A cap B')cup (B cap C) equals

    Text Solution

    |

  10. The shaded region in the given figure is

    Text Solution

    |

  11. Which is the simplified representation of (A' cap B' cap C) cup (B cap...

    Text Solution

    |

  12. In statistical survey of 1003 families has neither a radio nor a TV, 7...

    Text Solution

    |

  13. A survey shows that 63 % of the pepole watch a news channel whereas , ...

    Text Solution

    |

  14. In a town of 10,000 families it was found that 40% family buy newspape...

    Text Solution

    |

  15. Complete solution set of inequlaity ((x+2)(x+3))/((x-2)(x-3))le1

    Text Solution

    |

  16. The number of intergal values of x if 5x -1 lt (x+1)^2 lt 7 x-3 is

    Text Solution

    |

  17. If set A ={x|(x^2(x-5)(2x-1))/((5x+1)(x+2)) lt 0 } and Set B={x|(3x...

    Text Solution

    |

  18. Number of intergers satisfying the inequality x^4- 29x^2+100 le 0 i...

    Text Solution

    |

  19. If n gt 0 and exactly 15 integers satisfying (x+6)(x-4 ) (x-5) (2x-...

    Text Solution

    |

  20. The set of all x satisying the inequility (4x-1)/(3x+1) ge 1 is

    Text Solution

    |