If the point \( (2 a, a) \) lies inside the parabola \( \mathrm{P} ...

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If the point \( (2 a, a) \) lies inside the parabola
\( \mathrm{P} \) \( x^{2}-2 x-4 y+3=0 \), then a lies in the interval

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(1) \( \left[\frac{1}{2}, \frac{3}{2}\right] \)
(2) \( \left(\frac{1}{2}, \frac{3}{2}\right) \)
(3) \( (1,3) \)
(4) \( \left(\frac{-3}{2}, \frac{-1}{2}\right) \)
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