The equation of the ellipse having vertices at ($$\pm$$ 5, 0) and foci ($$\pm$$ 4, 0) is

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

The total number of tangents through the point (3, 5) that can be drawn to the ellipse 3x² + 5y² = 32 and 25x² + 9y² = 450 is

The line y = 2t² intersects the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ in real point if