The area (in units) of the region \( \left\{(x, y) \in \mathrm{R}^{...

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The area (in units) of the region \( \left\{(x, y) \in \mathrm{R}^{2} \mid 4 \mathrm{x}^{2} \leq \mathrm{y}\right. \) \( \leq 8 x+12\} \) is :
\( \mathrm{P} \)
[JEE Main-2020 (January)]
WV
(a) \( \frac{127}{3} \)
(b) \( \frac{125}{3} \)
(c) \( \frac{128}{3} \)
(d) \( \frac{124}{3} \)
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