Home
Class 11
MATHS
Find the pairs of equal sets, if any, gi...

Find the pairs of equal sets, if any, give reasons:
`A = {0}, B = {x : x > 15 and x < 5}`,
`C = {x : x – 5 = 0 }, D = {x: x^(2) = 25}`,
E = {x : x is an integral positive root of the equation `x^(2) – 2x –15 = 0`}.

Text Solution

Verified by Experts

The correct Answer is:
C, E
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT BANGLISH|Exercise EXERCISE 1.1|33 Videos

  • SETS

    NCERT BANGLISH|Exercise EXERCISE 1.2|21 Videos

  • SEQUENCES AND SERIES

    NCERT BANGLISH|Exercise Miscellaneous Exercise On Chapter 9|32 Videos

  • STATISTICS

    NCERT BANGLISH|Exercise Miscellaneous Exercise On Chapter 15|7 Videos

Similar Questions

Explore conceptually related problems

Find the roots of the equation 2x^2 - x + 1/8 = 0

The roots of the equation x^(2)+x-6=0 are

Find the root of equation 2x^2+3 x + 11=0.

Find the root of equation 2x^2+10 x + 20=0.

Are the following pair of sets equal ? Give reasons. A = {2, 3} , B = {x : x is solution of x^(2) + 5x + 6 = 0 }

Find the roots of the quadratic equation |x^(2)|-3|x|+2=0 .

Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=0.

Find whether the given pair of sets are equal or not: A={1,2} B={ x :0 lt x lt 3 and x in N },

One root of the equation 3x^2-5x+c=0 is 2, find its other root.

Find whether the given pair of sets are equal or not: P={1,5}, Q={ x:x^2-7x+10=0, x in R }

NCERT BANGLISH-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. Find the pairs of equal sets, if any, give reasons: A = {0}, B = {x ...

    Text Solution

    |

  2. Decide, among the following sets, which sets are subsets of one and a...

    Text Solution

    |

  3. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  4. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  5. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  6. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  7. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  8. In each of the following, determine whether the statement is true or f...

    Text Solution

    |

  9. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

    Text Solution

    |

  10. Show that the following four conditions are equivalent : A ⊂ B

    Text Solution

    |

  11. Show that the following four conditions are equivalent : A – B = φ

    Text Solution

    |

  12. Show that the following four conditions are equivalent : A ∪ B = B

    Text Solution

    |

  13. Show that the following four conditions are equivalent : A ∩ B = A

    Text Solution

    |

  14. Show that if A ⊂ B, then C – B ⊂ C – A.

    Text Solution

    |

  15. Assume that P ( A ) = P ( B ). Show that A = B

    Text Solution

    |

  16. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

    Text Solution

    |

  17. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

    Text Solution

    |

  18. Using properties of sets, show that A ∪ ( A ∩ B ) = A

    Text Solution

    |

  19. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

    Text Solution

    |

  20. Show that A ∩ B = A ∩ C need not imply B = C.

    Text Solution

    |

  21. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

    Text Solution

    |