Solve this following

Question:

The real number $\mathrm{k}$ for which the equation $2 \mathrm{x}^{3}+3 \mathrm{x}+\mathrm{k}=0$ has two distinct real roots in $[0,1]$

  1. lies between 1 and 2 .

  2. lies between 2 and 3 .

  3. lies between $-1$ and 0

  4. does not exist


Correct Option: , 4

Solution:

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