If the sum of the roots of the quadratic equation … is equal to the sum of the squares of their reciprocals, then … and … are in

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Quadratic Equation and Inequalities

JEE Main 2003 · Annual, Paper 1 · Q5112

MathematicsMedium129×since 2002Q5112

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

MathematicsMedium129×since 2002Q5112

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