Home
Class 12
MATHS
Equation x^(n)-1=0,ngt1,ninN, has roots ...

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

A

`(n)/(4)`

B

`(n(n-1))/(2)`

C

`(n-1)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

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 sum_(r=2)^(n)(1)/(2-a_(r)), is

If (a_(1),1,1),(1,a_(2),1) and (1,1,a_(3)) are coplaner (where a_(i)ge1,i=1,2,3) then underset(i=1)overset(3)sum(1)/(1-a_(i)) = …………..

What does a_(1) + a_(2) + a_(3) + …..+ a_(n) represent

If a_(1)=1,a_(n+1)=(1)/(n+1)a_(n),a ge1 , then prove by induction that a_(n+1)=(1)/((n+1)!)n in N .

If 1,alpha_(1),alpha_(2),...,alpha_(n-1) are the n, nth roots of the unity , then find the value of sum_(i=0)^(n-1)(1)/(2-a_(i)).

Suppose a_(1), a_(2), a_(3),…., a_(49) are in A.P and underset(k=0)overset(12)Sigma a_(4k+1)= 416 and a_(9) + a_(43)= 66 . If a_(1)^(2) + a_(2)^(2)+ ….+ a_(17)^(2)= 140m then m= ……..

Statement-1: If f:{a_(1),a_(2),a_(3),a_(4),a_(5)}to{a_(1),a_(2),a_(3),a_(4),a_(5)} , f is onto and f(x)nex for each xin {a_(1),a_(2),a_(3),a_(4),a_(5)} , is equal to 44. Statement-2: The number of derangement for n objects is n! sum_(r=0)^(n)((-1)^(r))/(r!) .

Show that a_(1),a_(2),......a_(n),.... from an AP where a_n is defined as below: (1)a_(n)=3+4n(2)a_(n)=9-5n Also find the sum of the first 15 terms in each case.

If a_(1),a_(2),a_(3),"........" is an arithmetic progression with common difference 1 and a_(1)+a_(2)+a_(3)+"..."+a_(98)=137 , then find the value of a_(2)+a_(4)+a_(6)+"..."+a_(98) .