Let an ellipse with centre (1, 0) and latus rectum of length 12 have its major axis along the x-axis. If its minor axis subtends an angle of 60° at the foci, then the square of the sum of the lengths of its minor and major axes is equal to:

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?