Home
Class 8
MATHS
If A = {1,2,3,4,5,6,7,8,9,10} and set T ...

If `A = {1,2,3,4,5,6,7,8,9,10}` and set T is defined as `T = {x,y}` , where `y in A` and `x+y = 10` or `xy = 10`, then, how many sets of the form T can be possible ? Write them ?

Text Solution

Verified by Experts

The correct Answer is:
`{1,10},{2,5},{1,9},{2,8},{3,7},{4,6},{5,5}`
Promotional Banner

Topper's Solved these Questions

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS ( Essay Type Questions)|5 Videos

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION (LEVEL 1) |31 Videos

  • SETS

    PEARSON IIT JEE FOUNDATION|Exercise TEST YOUR CONCEPTS (Very Short Answer Type Questions) |31 Videos

  • REAL NUMBERS AND LCM AND HCF

    PEARSON IIT JEE FOUNDATION|Exercise level -11|1 Videos

  • SIMPLE INTEREST AND COMPOUND INTEREST

    PEARSON IIT JEE FOUNDATION|Exercise CONCEPT APPLICATION Level 3|9 Videos

Similar Questions

Explore conceptually related problems

If x={0,1,2,3,4,5,6,7,8,9,10} and Y={ 2,4,6,8,10} then find X-Y.

If x={0,1,2,3,4,5,6,7,8,9,10} and Y={ 1,3,5,7,9} then X-Y=___.

Let A = {1,2,3,4,5,6,7,8} and R be the relation on A defined by : R = {(x,y) : x in A , y in A and x + 2y = 10 }. Find the domains and ranges of R and R^(-1) after expressing them as sets of ordered pairs.

Let A = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation on A defined by : R= {(x,y): x in A, y in A and x + 2y = 10} Find the domains and ranges of R and R^(-1) after expressing them as sets of ordered pairs.

If X={1,2,3,4} , Y={2,3,5,7}, Z={3,6,8,9},W={2,4,8,10}, then

Let x in {2, 3, 4} and y in {4, 6, 9, 10}. Let A be the set of all order pairs (x, y) such that x is a factor of y. How many elements does the set A contain ?

PEARSON IIT JEE FOUNDATION-SETS-TEST YOUR CONCEPTS ( Short Answer Type Questions)
  1. If mu = {set of natural numbers less than 20}, A = {factors of 18} and...

    Text Solution

    |

  2. If n(A) =15 and n(B) =17, then find n(AuuBuuC) from the following Venn...

    Text Solution

    |

  3. If A {2,{3,4},5{6,7,8}}. Then write all the non-empty proper subsets ...

    Text Solution

    |

  4. If A = {2,4,6,8} and B = {1,3,5,7} then represent A xx B graphically.

    Text Solution

    |

  5. If A = {a,b,c} and B = {1,2,3} then write the A xx B and B xx A what...

    Text Solution

    |

  6. In a group of 25 students, 13 can speak English, 12 can speak Hindi an...

    Text Solution

    |

  7. In a group of 25 students, 13 can speak English, 12 can speak Hindi an...

    Text Solution

    |

  8. In a group of 25 students, 13 can speak English, 12 can speak Hindi an...

    Text Solution

    |

  9. In a class of 80 students, 55 students passed in mathematics and 60 p...

    Text Solution

    |

  10. In a class of 80 students, 55 students passed in mathematics and 60 p...

    Text Solution

    |

  11. If a set has 512 non-empty proper subsets, then find the cardinal numb...

    Text Solution

    |

  12. If n ( A nn B') = 2x + 40, n(A nn B) = x+10 and n(B nn A') = 60-3x, th...

    Text Solution

    |

  13. If n(AuuBuuC)=100,n(A)=4x,n(B)=6x,n(C)=5x,n(AnnB)=20,n(BnnC)=15,n(AnnC...

    Text Solution

    |

  14. If A = {1,2,3,4,5,6,7,8,9,10} and set T is defined as T = {x,y} , whe...

    Text Solution

    |

  15. 45% of the students of a class participated in Physics Olympaid and 65...

    Text Solution

    |

  16. 45% of the students of a class participated in Physics Olympaid and 65...

    Text Solution

    |

  17. 45% of the students of a class participated in Physics Olympaid and 65...

    Text Solution

    |

  18. If A is the set of all the letters of the word HYDERABAD, then find th...

    Text Solution

    |

  19. A and B are any two sets. P(1) is the power set of A and P(2) is the p...

    Text Solution

    |

  20. If n(A) = a, n(B) = b, and the number of subsets of A exceeds subsets ...

    Text Solution

    |