If the sum of the roots of the quadratic equation a x² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

(A) Arithmetic - Geometric Progression

Complex Numbers and Quadratic Equations: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q5112

JEE Main 2003Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If the sum of the roots of the quadratic equation

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

is equal to the sum of the squares of their reciprocals, then

{a \over c},\,{b \over a}

and

{c \over b}

are in

JEE Main 2003 · Annual, Paper 1 · Q5112

JEE Main 2003Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If the sum of the roots of the quadratic equation

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

is equal to the sum of the squares of their reciprocals, then

{a \over c},\,{b \over a}

and

{c \over b}

are in