[JEE Main 2013] the real number k for which 2x 3 3x k 0 has two distinct
The real number $k$ for which $2x^3+3x+k=0$ has two distinct real roots in $[0,1]$
(a) lies between $1$ and $2$
(b) lies between $2$ and $3$
(c) lies between $-1$ and $0$
(d) does not exist
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 2d ago
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Correct answer: (d) does not exist
$f'(x)=6x^2+3>0$, so $f$ is strictly increasing and can have at most one real root — two distinct roots are impossible.
JEE Main 2013 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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