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`

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|=

The value of x satisfying the equation log_(2)(x^(2)-2x+5)=2 is "(a) 1 (b) 0 (c) -1 (d) 2 "

Let r ,s ,a n dt be the roots of equation 8x^3+1001 x+2008=0. Then find the value of .

If the inequality x^(2)+ax+a^(2)+6alt0 is satisfied for all x" in "(1, 2) , then the sum of all the integral values of a must be equal to

Let ' n ' is the number of ordered pair (x ,y) satisfying the system of equations {x^2y^2-2x+y^2=0 2x^2-4x+3+y^2=0(x , y in R) and ' S ' is the sum of all the values of xa n dy satisfying the given system of equations then (a) n > S (b) n < S (c) n-2 = S (d) S/n=2

The common roots of the equation x^(3) + 2x^(2) + 2x + 1 = 0 and 1+ x^(2008)+ x^(2003) = 0 are (where omega is a complex cube root of unity)

The value of (lim)_(x->pi//2)(s e c x-t a n x) is a. 1 b . 0 c. 2 d. -1

The least value of x satisfying the equation 2^(|x+1|)-2^x=|2^x-1|+1 is 0 (b) 2 (c) 4 (d) none of these

If the points A:(0, a), B:(-2,0) and C:(1, 1) form an obtuse angle triangle (obtuse angled at angle A), then sum of all the possible integral values of a is