Find the integral value of for which the point lies inside the ellipse .

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Find the integral value of α\alpha for which the point (7−5α4,−α)\left(7 - \frac{5\alpha}{4}, -\alpha\right) lies inside the ellipse x225+y216=1\frac{x^2}{25} + \frac{y^2}{16} = 1.

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