If `4^x-2^(x+2)+5+||b-1|-3|=|siny|, x , y , b in R ,` then the possible value of `b` is_________

Consider a=x^(2)+3x+2,b=x^(2)+3x+4,c=x^(2)+3x+8 ; if a, b, c are in HP then product of possible values of x is

If the line 3x-4y-lambda=0 touches the circle x^(2)+y^(2)-4x-8y-5=0 at (a,b) then which of the following is not the possible value of lambda+a+b?

If c<1 and the system of equations x+y-1=0,2x-y-c=0, and bx+3by-c=0 is consistent,then the possible real values of b are b epsilon(-3(3)/(4))quad b.b epsilon(-(3)/(2),4) c.be (-(3)/(4),3) d.none of these

If cosx + cosy + cosz = 0 = sinx + siny + sinz ,then possible value of cos((x-y)/2) is (A) 4 3 1 2 (B) 4 3 2 1 (C) 3 4 2 1 (D) 3 4 1 2

If ={(x,y)|x^(2)+y^(2)<=4} and B={(x,y)|(x-3)^(2)+y^(2)<=4} and A={(x,y)|x^(2)+y^(2)<=4} and B={(x,y)|(x-3)^(2)+y^(2)<=4} and then point P(alpha,a-(1)/(2)) belongs to the set B-A then the set of possible real values of alpha is