Home
Class 12
MATHS
Let A={1,2,3,5},B={1,2,3}andC={1,2,5}. F...

Let `A={1,2,3,5},B={1,2,3}andC={1,2,5}.` Find all the sets X satisfying
`{:((i),X subA","X!inB,(ii),XsubA","X!inC),((iii),XsubB","XneB","X!inC,(iv),XsubA","XsubB","XsubC):}`

Text Solution

Verified by Experts

The correct Answer is:
`{:((i),{5}","{5","1}","{5","2}","{5","3}","{5","1","2}","{5","2","3}","{1","2","3","5}),((ii),"{3},{3,1},{3,2),{3,5},{3,1,2},{3,1,5},{3,2,5},{1,2,3,5}"),((iii),"{3},{3,1},{3,2}"),((iv),"{1},{2},{3,2},"phi):}`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Let A={1,2,3,5},B=(1,2,3} and C{1,2,5} Find all the sets X satisfying X sub AX!sub B

If A = {1,2,3,4},B={1,2,3} and C={2,4} , the find all sets X such that (i) XsubBand XsubC (ii) X sub and X cancel(sub)B .

If A = {1,2,3,4},B={2,3,4} and C={1,3} , then find the set X such that : (i) X subB and X sub C (ii) X sub B and X cancel(sub)C (iii) X subA, X subB and X sub C .

Let A= {{1,2,3},{4,5} , {6,7,8,9}} . (i) {1,2,3} subA (ii) {{4,5}} 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}sub A (ii) {3, 4} in A (iii) {{3, 4}} subA (iv) 1 in A (v) 1 subA (vi) {1,2, 5}subA (vi) {1, 2, 5} ⊂ A (vii) {1, 2, 5} ∈ A (viii) {1, 2, 3} ⊂ A (ix) φ ∈ A (x) φ ⊂ A (xi) {φ} ⊂ A

Find the value of the polynomial 5x-4x^(2)+3 at : (i)x=0 " " (ii) x=-1 " " (iii) x=2

RESONANCE-DPP-QUESTION
  1. Which of the following sets are equal ? A={x:x inN,xlt4},B=(1,1,2,3,...

    Text Solution

    |

  2. Find the power set of the set {a,b,c}.

    Text Solution

    |

  3. Let A={1,2,3,5},B={1,2,3}andC={1,2,5}. Find all the sets X satisfying ...

    Text Solution

    |

  4. Let A={phi,{phi},2,{2,phi},3}, which of the following are true ? {:((...

    Text Solution

    |

  5. Remove the irrationality in the denominator sqrt((sqrt(2)-1)/(sqrt...

    Text Solution

    |

  6. Solve the following inequations {:((i),(x-2)/(x^(2)-9)lt0,(ii),(x+1)(...

    Text Solution

    |

  7. If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc = 3 then 1/a+1/b+1/c is equal t...

    Text Solution

    |

  8. If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x...

    Text Solution

    |

  9. Which of the following when simplified reduces to unity? (log)(3/2)(l...

    Text Solution

    |

  10. If log(6)log(2)[sqrt(4x+2)+2sqrtx]=0thenx=.

    Text Solution

    |

  11. The value 'x' satisfying the equation, 4^(log(g)3)+9^(log(2)4)=10^(log...

    Text Solution

    |

  12. If x=prod(n=1)^(2000)n, then the value of the expression, (1)/((1)/(l...

    Text Solution

    |

  13. Simplify :""^(3)sqrt(5^((1)/(log(7)5))+(1)/(sqrt(-log(10)(0.1))))

    Text Solution

    |

  14. Solved the following inequations {:((i), (x-5)(x+9)(x-8)lt0,(ii),x^(...

    Text Solution

    |

  15. If m,n in N and m=(n^2-n-35)/(n-4), then find the value of m.

    Text Solution

    |

  16. If x^3 + y^3 + 1 = 3xy, where x!= y determine the value of x + y + 1.

    Text Solution

    |

  17. Number of integers whose characteristic of logarithms to the base 10 i...

    Text Solution

    |

  18. If mantissa of lagarithm of 719.3 to the base 10 is 0.8569 then mantis...

    Text Solution

    |

  19. Number of digits in integral part of 60^(12)-60^(-12)-60^(-15)is ("giv...

    Text Solution

    |

  20. Find logarithm of the following values : {:((i),0.128,(ii),0.0125,(...

    Text Solution

    |