Number of integral value of ' \( \alpha \) ' for which the point \(...

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Number of integral value of ' \( \alpha \) ' for which the point
\( \mathrm{P} \) \( \left(7-\frac{5}{4} \alpha, \alpha\right) \) lies inside the ellipse \( \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 \) is:
(1) 0
(2) 1
(3) 2
(4) 3
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