If the points of intersections of the ellipse x216 - y2b2 - 1 and the circle x2 - y2 - 4b- b - 4 lie on the curve y2 - 3x2- then b is equal to -

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Major Axis of Ellipse

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If the points of intersections of the ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{b^{2}} = 1$ and the circle $x^{2} + y^{2} = 4 b,$ $b > 4$ lie on the curve $y^{2} = 3 x^{2},$ then $b$ is equal to :

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