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Quadratic Equation and Inequalities question

2002 · Shift 0 · Q100

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2002 · Shift 0 · Q100

Quadratic Equation and Inequalities question

2002 · Shift 0 · Q100

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

If

\alpha e \beta

but

{\alpha ^2} = 5\alpha - 3

and

{\beta ^2} = 5\beta - 3

then the equation having

\alpha /\beta

and

\beta /\alpha \,\,

as its roots is

A
$3{x^2} - 19x + 3 = 0$
B
$3{x^2} + 19x - 3 = 0$
C
$3{x^2} - 19x - 3 = 0$
D
${x^2} - 5x + 3 = 0$

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