The equation formed by decreasing each root of ax2+bx+c=0  by 2 is 3x2+6x+2=0 , then

The given equation ax2+bx+c=0 …… ( 1 ) Eq. ( 1 ) is decreasing each root by 2 ax2+bx+c=3(x−2)2+6(x−2)+2                          =3(x2+4−4x)+6x−12+2 ⇒ax2+bx+c=3x2−6x+2 Equating the coefficients, we geta=3,b=−6,c=2 Check these values through given options, b+3c=0  is satisfies.