If the perpendicular distance from the focus of an ellipse x29 + y2b2 = 1 (b < 3) to its corresponding directrix is 4√5, then the slope of the tangent to this ellipse drawn at (3√2, b√2) is:

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?