Home
Class 12
MATHS
If S is a set with 10 elements and A={(x...

If S is a set with 10 elements and `A={(x,y):x,y in S, x ne y}`, then the number of elements in A is

A

100

B

90

C

50

D

45

Text Solution

Verified by Experts

The correct Answer is:
B
Number of elements, S = 10 and `A={(x,y):x,y in S, x ne y}`
`:.` Number of elements in
`A=10xx9=90`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 13

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER II OBJECTIVE TYPE|50 Videos

  • PRACTICE SET 15

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

Let Z be the set of all integers and A={(x,y);x^(4)-y^(4)=175,x,y in Z},B={(,),x>y,x,y in Z} Then,the number of elements in A nn B is

If X and Y are two sets such that XuuY has 17 elements, X has 8 elements and Y has 14 elements . Then the number of elements of XcapY = …………..

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions form the set A to the set A xx B then (A) y=273x (B) 2y=91x (C) y=91x (D) 2y=273x

The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|,x!=-1}, Then the numbers of elements in the power set of R is

Let n>=3 and A be a set of n elements.Let P=(x,y,z) where x,y,z in A. Then the number of points such that atleast two of x,y,z are equal is

Let S be the set of all ordered pairs (x,y) of positive intergers, with HCF (x,y)=16 and LCM (x,y) = 48000. The number of elements in S is

The given diagrams show the atomic structures of elements X and Y. What are the nucleon numbers of elements X and Y?

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
  1. In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f...

    Text Solution

    |

  2. If log(x)ax,log(x)bx" and "log(x)cx are in AP, where a, b, c and x, be...

    Text Solution

    |

  3. The angle between the straight lines x -y sqrt3=5 and sqrt3x +y =7 is

    Text Solution

    |

  4. If S is a set with 10 elements and A={(x,y):x,y in S, x ne y}, then th...

    Text Solution

    |

  5. Let r be relation from R (set of real numbers) to R defined by r={(a,b...

    Text Solution

    |

  6. Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (-oo,...

    Text Solution

    |

  7. The number of critical points of f(x)=|x|(x-1)(x-2)(x-3) is

    Text Solution

    |

  8. The shaded region for the inequality x+5yle6 is

    Text Solution

    |

  9. For an LPP, minimise Z = 2x + y subject to constraint 5x+10y le 50 , x...

    Text Solution

    |

  10. Let [x] denotes the greatest integer less than or equal to x. If f(x) ...

    Text Solution

    |

  11. If f(0) = 0 and f(x) =(1)/((1-e^(-1//x))) " for " x ne 0. Then, only o...

    Text Solution

    |

  12. int(0)^(10)|x(x-1)(x-2)|dx is equal to

    Text Solution

    |

  13. Statement I int(pi/6)^(pi/3)1/(1+tan^3x) is pi/12 Statement II inta...

    Text Solution

    |

  14. Function f(x)={x-1, x<2 and 2x-3, xgeq2 is a continuous function

    Text Solution

    |

  15. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

    Text Solution

    |

  16. The equation of plane passing through a point A(2, -1, 3) and parallel...

    Text Solution

    |

  17. Show that the disease of the point of intersection of the line (x-2)/3...

    Text Solution

    |

  18. If |A|=3,|B|=4,|C|=5" and "a,b,c are such that each is perpendicular t...

    Text Solution

    |

  19. If a, b, c are three unit vectors such that a+b+c=0. Where 0 is null v...

    Text Solution

    |

  20. a.hati=a.(2hati+hatj)=a.(hati+hatj+3hatk)=1, then a is equal to

    Text Solution

    |