Let `a in (0,1]` satisfies the equation `a^(2008)-2a+1=0` and `S=1+a+a^2+.....+a^2007` Then sum of all possible values of S is a. `2010` b. `2009` c. `2008` d. `2`

If a satisfies the equation a^(2017)-2a+1=0 and S=1+a+a^(2)+....+a^(2016). then posible value(s) of S is/are

Let matrix A=[[3,2],[1,1]] satisfies the equation A^2+aA+bI=0 then the value of |a+b| =

Integers a,b,c satisfy a+b-c=1 and a^(2)+b^(2)-c^(2)=-1 What is the sum of all possible values of a^(2)+b^(2)+c^(2)?

Let a,b,c,d be real numbers such that |a-b|=2, |b-c|=3, |c-d|=4 Then the sum of all possible values of |a-d|=

If exactly one root of the equation x^(2)-2kx+k^(2)-1=0 satisfies the inequality log_(sqrt(3))(2-x)<=0 then find sum of all possible integral values of k

Let P-=(a, 0), Q-=(-1, 0) and R-=(2, 0) are three given points. If the locus of the point S satisfying the reaction SQ^(2)+SR^(2)=2SP^(2) is 2x+3=0 . Then the sum of all possible values of a is

If a, b and c satisfy the equation x^(3)-3x^(2) + 2x+1 =0 then what is the value of (1)/(a)+(1)/(b)+(1)/(c ) ?

Let a>0, a!=0 . Then the set S of all positive real numbers b satisfying (1+a^2)(1+b^2)=4ab is