Home
Class 12
MATHS
If X={4^(n)-3n-1,ninN}andY={9(n-1):ninN}...

If `X={4^(n)-3n-1,ninN}andY={9(n-1):ninN}," then "XcapY=`

A

X

B

Y

C

`phi`

D

`{0}`

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`X={ 4^(n)-3n-1 : n in N}`
`= {0,9,54, .....}`
and `Y={9(n-1): n in N}`
`= {0,9,18,27,36,45,54, ..... }`
`:.X nn Y = X`
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2017

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHMATICS|50 Videos

  • MHTCET 2019 PAPER 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MATHEMATICS|50 Videos

Similar Questions

Explore conceptually related problems

If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN} , then X uu Y equals

If X={4^(n)-3n-1n in N} and Y={9(n-1):n in N} , then X uu Y is equal to

If A={4^(n)-3n-1:n in N) and B={9(n-1):n in N} then

If X={4^(n)-3n-1 : n in N} and Y={9(n-1) : n in N} , then

If X={4^(n)-3n-1:n in N} and {9(n-1):n in N} , the prove that X sub Y .

If X={4^(n)-3n-1:n in N} and Y={9(n-1):n in N} ,where N is the set of natural numbers,then X uu Y is equal to (1)N(2)Y-X(3)X(4)Y

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2018-Mathematics
  1. Evaluate the following : int(0)^(pi//4)x sec^(2)xdx

    Text Solution

    |

  2. In DeltaABC, with usual notations, if a,b,c are in AP then acos^(2)((C...

    Text Solution

    |

  3. If x=e^(theta)(sintheta-costheta),y=e^(theta)(sintheta+costheta), then...

    Text Solution

    |

  4. The number of solution of sinx+sin3x+sin5x=0 in the interval {:[(pi)/(...

    Text Solution

    |

  5. If tan^(-1)(2x)+tan^(-1)(3x)=(pi)/(4), then find the value of x.

    Text Solution

    |

  6. Matrix A=[(1,2,3),(1,1,5),(2,4,7)], then the value of a(31)A(31)+a(32)...

    Text Solution

    |

  7. The contrapositive of the statement: "If the weather is fine then my f...

    Text Solution

    |

  8. If f(x)=(x)/(x^(2)+1) is increasing function, then the value of x lies...

    Text Solution

    |

  9. If X={4^(n)-3n-1,ninN}andY={9(n-1):ninN}," then "XcapY=

    Text Solution

    |

  10. The statement pattern p^^(~p^^q)is

    Text Solution

    |

  11. If the line y=4x-5 touches the curve y^(2)=-ax^(3)+b at the point (2, ...

    Text Solution

    |

  12. The sides of a rectangle are given by x=pma and y=pmb. The equation of...

    Text Solution

    |

  13. The minimum value of the function f(x)=xlogx is

    Text Solution

    |

  14. If X~B(n,p) with n=10,p=0.4, then E(X^(2))=

    Text Solution

    |

  15. Find the general solution of the differential equation (dy)/(dx) = (y)...

    Text Solution

    |

  16. IF planes vec(r)*(phat(i)-hat(j)+2hat(k))+3=0andvec(r)*(2hat(i)-phat(...

    Text Solution

    |

  17. The order of the differential equation of all parabolas, whose latus r...

    Text Solution

    |

  18. If the lines (x-1)/2=(y+1)/3=(z-1)/4a n d(x-3)/1=(y-k)/2=z/1 intersect...

    Text Solution

    |

  19. If a line makes angle 120^(@) and 60^(@) with the positive directions ...

    Text Solution

    |

  20. L and M are two points with position vectors 2vec(a)-vec(b)andvec(a)+2...

    Text Solution

    |