An equilateral triangle is inscribed in a parabola x2 = √3y, where one vertex of the triangle is at the vertex of the parabola. If p is the length of the side of the triangle and q is the length of the latus rectum, then which one of the following is correct?

The equation x24 - y216 = 1 represents:

The foci of the ellipse px2 + 16y2 = 16p and the foci of the hyperbola 25(81x2 - 144y2) = 11664 coincide (assume p < 16). What is the difference between the eccentricities of the hyperbola and the ellipse?

The foci of the ellipse px2 + 16y2 = 16p and the foci of the hyperbola 25(81x2 - 144y2) = 11664 coincide (assume p < 16). What is the value of p?