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Quadratic Equation and Inequalities question

2005 · Shift 0 · Q97

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PYQ Library
JEE Main
Mathematics
Quadratic Equation and Inequalities
2005 · Shift 0 · Q97

Quadratic Equation and Inequalities question

2005 · Shift 0 · Q97

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

If both the roots of the quadratic equation

{x^2} - 2kx + {k^2} + k - 5 = 0

are less than 5, then

k

lies in the interval

A
$\left( {5,6} \right]$
B
$\left( {6,\,\infty } \right)$
C
$\left( { - \infty ,\,4} \right)$
D
$\left[ {4,\,5} \right]$

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