Home
Class 12
MATHS
Let A={x:xepsilonz and 2^((x+2)(x^2-5x+6...

Let `A={x:xepsilonz` and `2^((x+2)(x^2-5x+6))=1}, B={x:xepsilonz` and `-3lt2x-1lt9}`. Find number of subsets of cartesian product `AxxB` (A) `2^18` (B) `2^10` (C) `2^15` (D) `2^20`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

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

Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} and B{x in Z : 10 lt3x+1lt 22} , then the number of subsets of the set AxxB is

Let A={x : x in R,-1 lt x lt 1} , B={x : x in R, x le0 or x ge 2} and AuuB=R-D , then find set D

Find Lt_(xto1)(2x^(2)+3x+4) .

The number of intergal values of x if 5x -1 lt (x+1)^2 lt 7 x-3 is

3x - 2 lt 2x + 1

The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) - 5x + 6 lt 0 is

The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will have number of solutions. 1 b. 2 c. 3 d. 0

Solve 15-2(2x-1) lt 15, x in Z

Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. A plane passing through three points (-lamda^2, 1, 1) (1, -lamda^2, 1)...

    Text Solution

    |

  2. If f(1)=2, f\'(x)=f(x) and h(x)=fof(x) then h'\(1) is equal to ...

    Text Solution

    |

  3. Let A={x:xepsilonz and 2^((x+2)(x^2-5x+6))=1}, B={x:xepsilonz and -3lt...

    Text Solution

    |

  4. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

    Text Solution

    |

  5. The equation of a tangent to the parabola, x^(2)=8y, which makes an an...

    Text Solution

    |

  6. Let S and S' be the foci of the ellipse and B be any one of the extrem...

    Text Solution

    |

  7. Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Number of integral values of m fo...

    Text Solution

    |

  8. Point P is at a height of 25m from surface of lake. The angel of eleva...

    Text Solution

    |

  9. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  10. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    Text Solution

    |

  11. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  12. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

    Text Solution

    |

  13. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

    Text Solution

    |

  14. Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...

    Text Solution

    |

  15. The number of all possible positive integral values of alpha for whic...

    Text Solution

    |

  16. Let veca = 2hati+lambda1 hatj+3hatk, vec(b)=4hati+(3-lambda2) hatj+6ha...

    Text Solution

    |

  17. Let d in R, and A = [(-2,4+d,(sintheta)-2),(1,(sintheta)+2,d),(5,(...

    Text Solution

    |

  18. The area enclosed between the curves y=kx^2" and " x=ky^2,(kgt0) is 1 ...

    Text Solution

    |

  19. Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...

    Text Solution

    |

  20. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |