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Quadratic Equation and Inequalities question

2021 · 27 Aug · Shift 2 · Q29

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2021 · 27 Aug · Shift 2 · Q29

Quadratic Equation and Inequalities question

2021 · 27 Aug · Shift 2 · Q29

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

The set of all values of K >

-

1, for which the equation

{(3{x^2} + 4x + 3)^2} - (k + 1)(3{x^2} + 4x + 3)(3{x^2} + 4x + 2) + k{(3{x^2} + 4x + 2)^2} = 0

has real roots, is :

A
$\left( {1,{5 \over 2}} \right]$
B
[2, 3)
C
$\left[ { - {1 \over 2},1} \right)$
D
$\left( {{1 \over 2},{3 \over 2}} \right] - \{ 1\}$

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