If the line \( \mathrm{x}=\alpha \) divides the area o region \( \mathrm{R}=\left\{(\mathrm{x}, ...
If the line \( \mathrm{x}=\alpha \) divides the area o region \( \mathrm{R}=\left\{(\mathrm{x}, \mathrm{y}) \in \mathrm{R}^{2}\right. \) : \( \left.\mathrm{x}^{3} \leq \mathrm{y} \leq \mathrm{x}, 0 \leq \mathrm{x} \leq 1\right\} \) into two equal parts, then
P
[JEE (Advanced)-2017]
W
(a) \( 2 \alpha^{4}-4 \alpha^{2}+1=0 \)
(b) \( \alpha^{4}+4 \alpha^{2}-1=0 \)
(c) \( \frac{1}{2}\alpha1 \)
(d) \( 0\alpha \leq \frac{1}{2} \)
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