If the equations x² + 2x + 3 = 0 and a x² + bx + c = 0, a, b, c R, have a common root, then a:b:c is

Complex Numbers and Quadratic Equations: JEE Main 2013 Mathematics question

JEE Main 2013 · Session, Shift 1 · Q5053

JEE Main 2013Session, Shift 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

If the equations

{x^2} + 2x + 3 = 0

and

a{x^2} + bx + c = 0,

a,\,b,\,c\, \in \,R,

have a common root, then

a\,:b\,:c\,

JEE Main 2013 · Session, Shift 1 · Q5053

JEE Main 2013Session, Shift 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

If the equations

{x^2} + 2x + 3 = 0

and

a{x^2} + bx + c = 0,

a,\,b,\,c\, \in \,R,

have a common root, then

a\,:b\,:c\,