Home
Class 11
MATHS
If P = (8 + 3sqrt(7))^(n) and f = p - [p...

If `P = (8 + 3sqrt(7))^(n)` and `f = p - [p]` , where `[*]` denotes the greatest integers function, then the value of `p(1-f)` is equal to

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

Similar Questions

Explore conceptually related problems

If p=(8+3sqrt(7))^n a n df=p-[p],w h e r e[dot] denotes the greatest integer function, then the value of p(1-f) is equal to 1 b. 2 c. 2^n d. 2^(2n)

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

Let f(n)=[1/2+n/100] , where [.] denotes the greatest integer function,then the value of sum_(n=1)^151 f(n)

If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer function), then f (x) is

If f(x) =cos [pi^(2)]x+ cos [-pi^(2)] x, where [x] denots the greatest integer function, then the value of f((pi)/(2)) is-

If f(x)=[x], where [.] denotes greatest integer function. Then check the continuity on [1,2]

[x] denote the greatest integer function. The value of int_(1)^(a)[x]f^(')(x)dx,agt1 is-

draw the graph of f(x)=x+[x] , [.] denotes greatest integer function.

If f : R to [-1, 1] , where f(x)=sin(pi/2[x]) (where [.] denotes the greatest integer function), then the range of f(x) is

Let f(x)={1+|x|,x<-1 [x],xgeq-1 , where [.] denotes the greatest integer function. The find the value of f{f(-2.3)}dot

CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to

    Text Solution

    |

  2. The value of underset(r=0)overset(10)sum(r).^(20)C(r) is equal to

    Text Solution

    |

  3. If P = (8 + 3sqrt(7))^(n) and f = p - [p] , where [*] denotes the grea...

    Text Solution

    |

  4. Find the GP whose first term is 64 and next term is 32.

    Text Solution

    |

  5. The fifth term of GP is 81 and second term is 24. Find the GP

    Text Solution

    |

  6. The value of x for which the sixth term in the expansion of [2^(log(...

    Text Solution

    |

  7. Find the 7th term of the GP, sqrt(3)+1, 1 , (sqrt(3) -1)/2 ,.....

    Text Solution

    |

  8. The number 51^(49)+51^(48)+51^(47)+........+51+1 is divisible by a. 10...

    Text Solution

    |

  9. If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...

    Text Solution

    |

  10. If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of the...

    Text Solution

    |

  11. If sum(r=0)^(n){a(r)(x-alpha+2)^(r)-b(r)(alpha-x-1)^(r)}=0, then

    Text Solution

    |

  12. Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...

    Text Solution

    |

  13. Prove that underset(r=0)overset(n)sum.^(n)C(r)(-1)^(r)[i^(r)+i^(2r)+i^...

    Text Solution

    |

  14. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

    Text Solution

    |

  15. If the first and third term is 2 and 8 respectively. Find its secon...

    Text Solution

    |

  16. Find the next two terms of the series 2,-6,18,-54,.....

    Text Solution

    |

  17. If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...

    Text Solution

    |

  18. Find the third term from the end term of the GP.2/27, 2/9, 2/8,.........

    Text Solution

    |

  19. Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+... +((q+1)/2)^n...

    Text Solution

    |

  20. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+.....oo

    Text Solution

    |