Home
Class 12
MATHS
Equation x^(n)-1=0, ngt1, n in N," has r...

Equation `x^(n)-1=0, ngt1, n in N," has roots "1,a_(1),a_(2),…,a_(n-1).`
The value of `(1-a_(1))(1-a_(2))…(1-a_(n-1))` is

A

`(n^(2))/2`

B

`n`

C

`(-1)^(n).n`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|14 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE main (Archive)|51 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise LEVEL -1|134 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos

Similar Questions

Explore conceptually related problems

Equation x^(n)-1=0,ngt1,ninN, has roots 1,a_(1),a_(2),...,a_(n),. The value of underset(r=2)overset(n)sum(1)/(2-a_(r)), is

If a_(i)gt0 for i u=1, 2, 3, … ,n and a_(1)a_(2)…a_(n)=1, then the minimum value of (1+a_(1))(1+a_(2))…(1+a_(n)) , is

If a_(1)=2 and a_(n)=2a_(n-1)+5 for ngt1 , the value of sum_(r=2)^(5)a_(r) is

If alpha and beta are roots of the equation x^(2)-3x+1=0 and a_(n)=alpha^(n)+beta^(n)-1 then find the value of (a_(5)-a_(1))/(a_(3)-a_(1))

If a_(1)gt0 for all i=1,2,…..,n . Then, the least value of (a_(1)+a_(2)+……+a_(n))((1)/(a_(1))+(1)/(a_(2))+…+(1)/(a_(n))) , is

If a_(n) gt a_(n-1) gt …. gt a_(2) gt a_(1) gt 1 , then the value of "log"_(a_(1))"log"_(a_(2)) "log"_(a_(3))…."log"_(a_(n)) is equal to

If a_(i) gt 0 AA I in N such that prod_(i=1)^(n) a_(i) = 1 , then prove that (1 + a_(1)) (1 + a_(2)) (1 + a_(3)) .... (1 + a_(n)) ge 2^(n)

A sequence is defined as follows : a_(a)=4, a_(n)=2a_(n-1)+1, ngt2 , find (a_(n+1))/(a_(n)) for n=1, 2, 3.

Find a_(1) and a_(9) if a_(n) is given by a_(n) = (n^(2))/(n+1)

If a_(1), a_(2), a_(3).... A_(n) in R^(+) and a_(1).a_(2).a_(3).... A_(n) = 1 , then minimum value of (1 + a_(1) + a_(1)^(2)) (a + a_(2) + a_(2)^(2)) (1 + a_(3) + a_(3)^(2))..... (1 + a_(n) + a_(n)^(2)) is equal to

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS-LEVEL 2
  1. If f(x)=(|x|)^(|sinx|), then f'(-pi//4) is equal to

    Text Solution

    |

  2. If f(x) = cos x cos 2x cos 4x cos 8x cos 16x then find f' (pi/4)

    Text Solution

    |

  3. Equation x^(n)-1=0, ngt1, n in N," has roots "1,a(1),a(2),…,a(n-1). ...

    Text Solution

    |

  4. Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...

    Text Solution

    |

  5. Equation x^(n)-1=0,ngt1,ninN, has roots 1,a(1),a(2),...,a(n),. The val...

    Text Solution

    |

  6. underset(xto0)lim[(1-e^(x))(sinx)/(|x|)] is (where [.] represents the ...

    Text Solution

    |

  7. Indicate all correct alternatives: if f(x) = x/2-1, then on the interv...

    Text Solution

    |

  8. Let function f be defined as f:R^(+)toR^(+) and function g is defined ...

    Text Solution

    |

  9. If f(x)={(2cos x ,s in2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x...

    Text Solution

    |

  10. If f(x) = {{:(b([x]^(2)+[x])+1",","for",x gt -1),(sin(pi(x + a))",","f...

    Text Solution

    |

  11. Show that the function f(x)={x^m sin(1/x) , 0 ,x != 0,x=0 is different...

    Text Solution

    |

  12. {:(f(x) = cos x and H(1)(x) = min{f(t), 0 le t lt x},),(0 le x le (pi)...

    Text Solution

    |

  13. Consider f(x)=[[2(sinx-sin^3x)+|sinx-sin^3 x|)/(2(sinx-sin^3 x)-|sinx...

    Text Solution

    |

  14. Consider the function f(x) = {{:(x{x}+1",","if",0 le x lt 1),(2-{x}","...

    Text Solution

    |

  15. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

    Text Solution

    |

  16. The function f(x)=x-[x] , where [⋅] denotes the greatest integer fu...

    Text Solution

    |

  17. Let f (x) be twice differentialbe function such that f'' (x) gt 0 in [...

    Text Solution

    |

  18. Let f:(-pi/2, pi/2)->R, f(x) ={lim(n->oo) ((tanx)^(2n)+x^2)/(sin^2x+(t...

    Text Solution

    |

  19. Let f(x+y)=f(x)f(y) for all x, y epsilon R and f(x)=1+x phi (x) l n 2 ...

    Text Solution

    |

  20. Let f(x+y)=f(x)f(y) for all x, y epsilon R and f(x)=1+x phi (x) l n 2 ...

    Text Solution

    |