Home
Class 12
MATHS
Let Z be the set of integers. If A = {x ...

Let Z be the set of integers. If A = `{x in Z : 2^((x + 2)(x^(2) - 5x + 6)} = 1` and `B = {x in Z : -3 lt 2x - 1 lt 9}`, then the number of subsets of the set A `xx` B is

A

`2^(18)`

B

`2^(10)`

C

`2^(15)`

D

`2^(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 1|5 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 2|7 Videos
  • JEE 2019

    CENGAGE PUBLICATION|Exercise chapter -3|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|541 Videos
  • LIMITS

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos

Similar Questions

Explore conceptually related problems

A relation R on the set of integers Z is defined as follows : (x,y) in R rArr x in Z, |x| lt 4 and y=|x|

The set of all integers x such that abs(x-3)lt2 is equal to

Given, A={x:0 lt x le2} and B={x:1 lt x lt3}, find A cupB

If f(x)=x/(x^2+1) and f(A)={y:-1/2 le y lt 0} , then set A is

Given, A={x:0 lt x le2} and B={x:1 lt x lt3}, find A-B

The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2x + 3y + (a^(2) - 1)z = a + 1

Given, A={x:0 lt x le2} and B={x:1 lt x lt3}, find A capB

The solution set of the inequlity (|x-2|-x)/(x)lt2 is

Let RR be the set of all real numbers and A={x in RR : 0 lt x lt 1} . Is the mapping f : A to RR defined by f(x) =(2x-1)/(1-|2x-1|) bijective ?

Let A={x:2 lex lt5} and B={x: 3lt x lt 7} be two subsets of the universal set, S={x:0 lt x le10}, verify that, (A cupB)^c=A^c capB^c

CENGAGE PUBLICATION-JEE 2019-MCQ
  1. Let S={1,2,3, …, 100}. The number of non-empty subsets A to S such tha...

    Text Solution

    |

  2. Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...

    Text Solution

    |

  3. Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x +...

    Text Solution

    |

  4. There are m men and two women participating in a chess tournament. Eac...

    Text Solution

    |

  5. If the fractional part of the number (2^(403))/(15) is (k)/(15) then k...

    Text Solution

    |

  6. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |

  7. If Sigma(i=1)^(20) ((""^(20)C(i-1))/(""^(20)C(i)+""^(20)C(i-1)))^(3)=(...

    Text Solution

    |

  8. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  9. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  10. If Sigma(r=0)^(25) (""^(50)C(r)""^(50-r)C(25-r))=K(""^(50)C(25)), th...

    Text Solution

    |

  11. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  12. The value of r for which .^(20)C(r ). ^(20)C(0)+ .^(20)C(r - 1) .^...

    Text Solution

    |

  13. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  14. Let Sn=1+q+q^2 +...+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+...((q+1)/2)^n...

    Text Solution

    |

  15. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  16. If ""^(n)C(4),""^(n)C(5) and ""^(n)C(6) are in A.P. then the value of ...

    Text Solution

    |

  17. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |

  18. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  19. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  20. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 o...

    Text Solution

    |