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Quadratic Equation and Inequalities question

2014 · Shift 0 · Q40

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2014 · Shift 0 · Q40

Quadratic Equation and Inequalities question

2014 · Shift 0 · Q40

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

Let

\alpha

and

\beta

be the roots of equation

p{x^2} + qx + r = 0,p e 0.

If

p,\,q,\,r

in A.P. and

{1 \over \alpha } + {1 \over \beta } = 4,

then the value of

\left| {\alpha - \beta } \right|

is :

A
${{\sqrt {34} } \over 9}$
B
${{2\sqrt 13 } \over 9}$
C
${{\sqrt {61} } \over 9}$
D
${{2\sqrt 17 } \over 9}$

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