If `x=1` is a common root of the equations `a x^2+a x+3=0` and `x^2+x+b=0` , then `a b=`

The roots of the equation x^2+ax+b=0 are

If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= (a) 1 (b) 2 (c) 4 (d) 3

If one root is common is equations x^(2)-ax+b=0 and x^(2 ) +bx-a=0 , then :

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

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)

If x_1, x_2 be the roots of the equation x^2 -3x+ A=0 and x_3,x_4 be those of the equation x^2-12x + B = 0 and x_1 , x_2, x_3, x_4 be an increasing GP. find find A and B.

If a , b are the roots of the equation x^2+x+1=0 , then a^2+b^2 =

If 2 is a root of the equation x^2+b x+12=0 and the equation x^2+b x+q=0 has equal roots, then q= (a) 8 (b) -8 (c) 16 (d) -16

If a,b,c in R and the equation ax^2+bx+c = 0 and x^2+ x+ 1=0 have a common root, then