Home
Class 12
MATHS
Let A = {1, 2, 3, 4, 5, …., 17, 18}. Let...

Let A = {1, 2, 3, 4, 5, …., 17, 18}. Let '`~=`' be the equivalence relation on `A xx A`, cartesian product of A with itself, defined by (a,b) `~=` (c, d) iff ad = bc. Then, the number of ordered pairs of the equivalence class of (3, 2) is

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHEMATICS 2004

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|51 Videos

  • GGSIPU MATHEMATICS 2006

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|51 Videos

Similar Questions

Explore conceptually related problems

Let A = (1,2, 3, 4, 5, ..., 30) and ~= be an equivalence relation on AxxA , defined by (a,b) ~= (c,d) if and only if ad=bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair (4,3) is equal to :

Let A = {1, 2, 3}. Which of the following is not an equivalence relation on A ?

Let A={1,2,3,4}.Let R be the equivalence relation on A times A defined by (a,b)R(c,d) iff a +d=b+c. Find the equivalence class '[(1,3)]'

Let A={1,2,3,4} . Let R be the equivalence relation on AxxA defined by (a,b)R(c,d) iff a+d=b+c . Find {(1,3)} .

Let A = { 1,3,5 } . then the number of equivalence relations in A containing (1,3) is ?

Let A={1,2,3,4}. Let R be the equivalence relation on A xx A defined by (a,b)R(c,d)hArr a+d=b+c. Find an equivalence class for [2quad 3]

Let A={1,2,3,......,} and the relation R defined as (a, b) R (c,d) if a+d=b+c be an equivalence relation. Then, the equivalence class containing [(2,5)] is:

Let S={1,2,3,4,5} and A=S xx.A relation R on A is defined as follows '(a,b)R(c,d) iff ad=cb. Then R is

The maximum number of equivalence relations on the set A={1,2,3,4} are

Let A={1,2,3}. Which of the following is not an equivalence relation on A?

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2005-MCQ
  1. An investigator interviewed 100 students to determine the performan...

    Text Solution

    |

  2. Let Y= (1, 2, 3, 4, 5}, A = {1, 2). B = (3, 4, 5) If (A xx B) denote...

    Text Solution

    |

  3. Let A = {1, 2, 3, 4, 5, …., 17, 18}. Let '~=' be the equivalence relat...

    Text Solution

    |

  4. If a , b are two fixed positive integers such that f(a+x)=b+[b^3+1-3b^...

    Text Solution

    |

  5. the domain of the function f(x)=log(3+x)(x^(2)-1) is

    Text Solution

    |

  6. The value of cot 70^(@) + 4 cos 70^(@) is

    Text Solution

    |

  7. The equation of sinx+siny+sinz = - 3 for 0 lt= x lt= 2 pi, 0 lt= y lt=...

    Text Solution

    |

  8. If x>=0and theta=sin^-1x+cos^-1x-tan^-1x, then

    Text Solution

    |

  9. Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3...

    Text Solution

    |

  10. If alpha , beta alpha ne beta satisfies the question a costheta + b s...

    Text Solution

    |

  11. The equation 4x^(2)-24xy+11y^(2)=0 represents

    Text Solution

    |

  12. The length of the chord joining the points in which the straight line ...

    Text Solution

    |

  13. The normal to the parabola y^(2)=8x at the point (2, 4) meets the para...

    Text Solution

    |

  14. If a bar of givenlength moves with its extremities on two fixed straig...

    Text Solution

    |

  15. The straight line x+y=sqrt2P will touch the hyperbola 4x^2-9y^2=36 i...

    Text Solution

    |

  16. The function f(x) = (1-sin x + cos x)/(1+sin x + cosx) is not defined ...

    Text Solution

    |

  17. If f(x)=sin^2x and the composite functions g{f(x)}=|sinx|, then the fu...

    Text Solution

    |

  18. The area bounded by the curve y = |x - 1| and y= 3 - |x|

    Text Solution

    |

  19. Let x = [(a + 2b)/(a+b)] " and " y = a/b , where a and b are positive ...

    Text Solution

    |

  20. The curve x = log y+ e and y = log (1/x)

    Text Solution

    |