Home
Class 12
MATHS
If A={3^(n)-2n-1:n in N} and B={4(n-1):n...

If `A={3^(n)-2n-1:n in N}` and `B={4(n-1):n in N}`, then

A

A = B

B

`A nn B = phi`

C

`A sub B`

D

`B sube A`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2017

    WB JEE PREVIOUS YEAR PAPER|Exercise Multiple Choice Questions|75 Videos

Similar Questions

Explore conceptually related problems

Let NN be the set of natural numbers and A = {3^n-2n-1:n in NN},B={4(n-1):n in NN} . Prove that A subB .

If .^(2n+1)P_(n-1): .^(2n-1)P_(n)=3:5 , find n.

If "^(2n+1)P_(n-1):^(2n-1)P_n=3:5, then find the value of n .

If (a^(n)+b^n)/ (a^(n-1) +b^(n-1)) is the A.M. between a and b, then find the value of n.

If A_n is the area bounded by y=x and y=x^n ,n in \mathbb{N} ,then A_2 A_3 ... A_n= (a) 1/(n(n+1)) (b) 1/(2^n n(n+1)) (c) 1/(2^(n-1)n(n+1)) (d) 1/(2^(n-2)n(n+1))

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these

If A={:[(3,-4),(1,-1)]:}, then by principle of mathematics induction show that, A^(n)={:[(1+2n,-4n),(n,1-2n)]:} for all n in N.

Let S_n=1+2+3++n and P_n=(S_2)/(S_2-1)*(S_3)/(S_3-1)*(S_4)/(S_4-1)* . . . *(S_n)/(S_n-1) Where n in N ,(ngeq2)dot Then lim_(n→oo)P_n=______

If A_n=int_0^(pi/2)(sin(2n-1)x)/(sinx)dx ,B_n=int_0^(pi/2)((sinn x)/(sinx))^2 dx for n inN , Then (A) A_(n+1)=A_n (B) B_(n+1)=B_n (C) A_(n+1)-A_n=B_(n+1) (D) B_(n+1)-B_n=A_(n+1)

If N = n!(n in N, n gt 2) , then find lim_(N rarr oo)[(log_(2)N)^(-1) + (log_(3)N)^(-1)+…+(log_(n)N)^(-1)]

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. Let (("cos"(pi)/(4),-"sin"(pi)/(4)),("sin"(pi)/(4),"cos"(pi)/(4))) and...

    Text Solution

    |

  2. Let R be a relation defined on the set Z of all integers and xRy when ...

    Text Solution

    |

  3. If A={3^(n)-2n-1:n in N} and B={4(n-1):n in N}, then

    Text Solution

    |

  4. If the function f : R to R is defined by f(x)=(x^(2)+1)^(35)AA x in R,...

    Text Solution

    |

  5. Standard Deviation of n observations a(1), a(2), a(3),….a(n) is sigma....

    Text Solution

    |

  6. Let A and B be two events such that P(A nn B)=(1)/(6),P(A uu B)=(31)/(...

    Text Solution

    |

  7. The value of cos 15^(@)cos 7(1^(@))/(2)sin 7(1^(@))/(2) is

    Text Solution

    |

  8. The smallest positive root of the equation tan x-x=0 lies in

    Text Solution

    |

  9. If in a triangle ABC, AD, BE and CF are the altitudes and R is the cir...

    Text Solution

    |

  10. The points (-a,-b),(a,b),(0,0) and (a^(2),ab), a ne 0, b ne 0 are alwa...

    Text Solution

    |

  11. The line AB cuts off intercepts 2a from the axes. From any point. P on...

    Text Solution

    |

  12. x+8y-22=0, 5x+2y-34=0, 2x-3y+13=0 are the three sides of a triangle. T...

    Text Solution

    |

  13. The line through the points (a, b) and (-a, -b) passes through the poi...

    Text Solution

    |

  14. The locus of the point of intersection of the straight lines (x)/(a)+(...

    Text Solution

    |

  15. The equation of a line parallel to the line 3x+4y=0 and touching the c...

    Text Solution

    |

  16. A line passing through the point of intersection of x+y=4 and x-y=2 ma...

    Text Solution

    |

  17. The equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-10...

    Text Solution

    |

  18. If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b...

    Text Solution

    |

  19. For non - zero vectors vec(a) and vec(b) id |vec(a)+vec(b)|lt|vec(a)-v...

    Text Solution

    |

  20. General solution of y(dy)/(dx)+by^(2)=a cos x, 0 lt x lt 1 is Here ...

    Text Solution

    |