Home
Class 12
MATHS
Consider the following sets. I. A={1,2...

Consider the following sets.
I. `A={1,2,3}`
II. `B={x inR:x^(2)-2x+1=0}`
III. `C={1,2,2,3}`
IV. `D={x inR:x^(3)-6x^(2)+11x-6=0}`
Which of the following are equal?

A

`A=B=C`

B

`A=C=D`

C

`A=B=D`

D

`B=C=D`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

  • SETS

    DISHA PUBLICATION|Exercise EXERCISE-2 : CONCEPT APPLICATOR|30 Videos

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • STRAIGHT LINES AND PAIR OF STRAIGHT LINES

    DISHA PUBLICATION|Exercise EXERCISE 2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

Which of the following sets are equal? (i) A={1,2,3} (ii) B={x in R:x^(2)-2x+1=0} (iii) C={1,2,2,3} (iv) D={x in R:x^(3)-6x^(2)+11x-6=0}

Are the following sets equal? (i) A={2,1},B={1,2},C={x:x^(2)-3x+2=0}

Solve 6x^(3)-11x^(2)+6x-1=0 , roots of the equatioin are in HP.

Find the sets which are equal, from the following sets : A = {2,1,3} B = {x : x^(3) - 6x^(2)+11x - 6 = 0} C = {0,1},D={a,b} E = {x : x^(2) - x=0} F = {x : (x-a)(x-b)=0} .

Write the empty and singleton set from the following sets : (i) A={x:x+2=5} (ii) B={x:x^(2)-8x+16=0} (iii) C={x:x+2=3 and 2x=1} (iv) D={x:xltx} .

Are the following pairs of sets equal? Give reason.A={1,2,3},B{x;x is a solution of x^(2)+5x+6=0}

Which of the following pairs of sets are equals? Give reasons. (i) A={-1,1} and B= {x:x in R and 3x^(2)-3=0} (ii) A={1,2,3} and B= {x: x in R and (x-1) (x+2)=0} (iii) A=(-4,-3,-2,-1) and B= {x:x in N and x^(2) lt 20}

Which of the following equations has 2 as a root? (a) x^(2)-4x+5=0 , (b) x^(2)+3x-12=0 (c) 2x^(2)-7x+6=0 , (d) 3x^(2)-6x-2=0

DISHA PUBLICATION-SETS-EXERCISE-1 : CONCEPT BUILDER
  1. If A={a,b,c}, then what is the number of proper subsets of A?

    Text Solution

    |

  2. Consider the following sets. I. A={1,2,3} II. B={x inR:x^(2)-2x+1=...

    Text Solution

    |

  3. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  4. Let A and B be two non empty subsets of set X such that A is not a sub...

    Text Solution

    |

  5. If A = {x , y}, then the power set of A is

    Text Solution

    |

  6. Given the sets A = {1,3,5}, B = {2,4,6} and C = {0,2,4,6,8}, which of ...

    Text Solution

    |

  7. Find the pairs of equal sets from the following sets, if any, giving ...

    Text Solution

    |

  8. Let A={1,3,5} and B = {x:x is an odd natural number less than 6}. Then...

    Text Solution

    |

  9. the collection of intellgent students in a class is :

    Text Solution

    |

  10. If A={1,2,(3,4),5}, then which of the following statements is incorrec...

    Text Solution

    |

  11. State which of the following sets are finite sets or infinite. In case...

    Text Solution

    |

  12. Which of the following statement is FALSE

    Text Solution

    |

  13. The set {x : x is a positive integer less than 6 and 3^(x)-1 is an eve...

    Text Solution

    |

  14. The cardinality of the set P{P[P(phi)]} is

    Text Solution

    |

  15. The number of elements in the set {(a, b) : 2a^2 + 3b^2 = 35. a . b i...

    Text Solution

    |

  16. If A={x:x=n^(2),n=1,2,3}, then number of proper subsets is

    Text Solution

    |

  17. Let A, B, C be three sets. If AinBandBsubC then

    Text Solution

    |

  18. Let V" "=" "{a ," "e ," "i ," "o," "u} and B" "=" "{a ," "i ," "k ," "...

    Text Solution

    |

  19. If P={x in R : f(x)=0} and Q={x in R : g(x)=0 }, then PuuQ is

    Text Solution

    |

  20. If A={1,2,3,4},B={2,3,5,6}andC={3,4,6,7}, then

    Text Solution

    |