Home
Class 11
MATHS
Let A={phi,{phi},1,{1,phi},2}dot Which o...

Let `A={phi,{phi},1,{1,phi},2}dot` Which of the following are true? `phi A` ii. `2subA` iii. `{2,{1}}subA`

Text Solution

Verified by Experts

i) `phi` belongs to set `A`, Thus, true,
ii) False
`2` is not a subset of et `A`, it is an element of set `A`.
iii)True
`{2, {1}}` is not a subset of set `A`.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos
  • SINE AND COSINE FORMULAE AND THEIR APPLICATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|118 Videos

Similar Questions

Explore conceptually related problems

If A={phi,{phi},1.{1,phi},7}, then Which of the following are true?

Let A={phi{phi},1,{1,phi},2}. Determine which of the following is true or fase.

State which of the following is true? phi={phi}

Let A={phi,{phi},2,{2,phi},3}, which of the following are true ? {:((i),phiinA,(i),phisubA,(iii),{phi}inA),((iv),{phi}subA,(v),2subA,(vi),{2","phi}subA),((vii),{{2}","{3}} subA,(viii),{2","3}!inA, (ix),{phi","2","3}subA.):}

Let A={phi,{phi},2,{2,phi,5}} . Which of the following are true or false Justify your answer. (i) phi inA (ii) {phi}inA (iii) {2}inA (iv) {5,phi}subA (v) 5subA (vi) {5,{2}}notinA (vii) {{5},{2}}notinA (viii) {phi,(phi},(2,phi}}subA (ix) {{phi}}subA .

Let A= {1,2,{3,4},5}. Which of the following statements are correct and why ? (i) {3,4}subA (ii) {3,4}inA (iii) {{3,4}}subA (iv) 1inA (v) 1subA (vi) {1,2}subA . (vii) {1,2,5}inA (viii) {1,2,3}subA . (ix) phiinA (x) phisubA (xi) {phi}subA .

Let A ={1,2,{3,4},5} . Which of the following statements are incorrect and why ? (i) {3,4} subA (ii) {3,4} in A (iii) {{3,4}}sub A (iv) 1 in A (v) 1 sub A (vi) {1,2,5} sub A (vii) {1,2,5} in A (viii) {1,2,3} sub A (ix) phi in A (x) phi sub A (xi) {phi} sub A .

Find the number of elements of the following sets: A={phi,{phi},{phi,{phi}}}

Let A = {phi , {phi, {phi}} , {phi , {phi}, {phi, {phi}}}} , then total number of relations on A that are not function is equal to

RD SHARMA-SETS-Solved Examples And Exercises
  1. Let A={{1,2,3},\ {4,5},\ {6,7,8}}dot Determine which of the following ...

    Text Solution

    |

  2. Let A={{1,2,3},\ {4,5},\ {6,7,8}}dot Determine which of the following ...

    Text Solution

    |

  3. Let A={phi,{phi},1,{1,phi},2}dot Which of the following are true? phi...

    Text Solution

    |

  4. Let A={phi{phi},1,{1,phi},2}dot Which of the following are true? {{2},...

    Text Solution

    |

  5. Let A={phi,{phi},1,{1,phi},2}dot Which of the following are true? {1}s...

    Text Solution

    |

  6. Write down all possible subset of each of the following set: {0,1}

    Text Solution

    |

  7. Write down all possible subset of each of the following set: {1,{1}}

    Text Solution

    |

  8. Write down all possible subset of each of the following set: {phi}

    Text Solution

    |

  9. Write down all possible subset of each of the following set: {a , b , ...

    Text Solution

    |

  10. Write down all possible proper subsets each of the following set: {1,2...

    Text Solution

    |

  11. Write down all possible proper subsets each of the following set: {1,2...

    Text Solution

    |

  12. Write down all possible proper subsets each of the following set: {1}

    Text Solution

    |

  13. How many elements has P(A), if A=phi

    Text Solution

    |

  14. If A={1,2,3}a n d\ B={1,3,5,7},\ t h e n\ AuuB= {1,2,3,5,7} .

    Text Solution

    |

  15. If A={x : x=2n+1,\ n in Z}\ a n d\ B={x : x=2n ,\ n in Z} , then Auu...

    Text Solution

    |

  16. Let A={1,2,3},\ B={4,5},\ C={6,7,8} . Then AuuBuuC={1,2,3,4,5,6,7,8}

    Text Solution

    |

  17. If A={1,2,3,4,5} and\ B={1,3,9, 12} then AnnB={1,3}dot

    Text Solution

    |

  18. If A={1,2,3,4,5,6,7,8}\ a n d\ B={1,3,5,6,7,8,9},\ t h e n\ A-B={2,4},...

    Text Solution

    |

  19. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |

  20. If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11...

    Text Solution

    |