The plane x + y + 2z = 6 intersects the paraboloid z = x2 + y² in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin. Point farthest away occurs at ). Point nearest occurs at ).

Find an equation of the ellipse that has center (1, – 2), a minor axis of length 6, and a vertex at (1, 4).

Find the. standard equation R the :vertices at '(1,22,15,2); endpoint. minor axis (2,3),2,). ellipse grve: qthe of att अमयी एिषगरे

The ellipse below intersects its two axes of symmetry at the points (8, -3), (5, -2), (2, -3), and (5, -4): 3 8. -4- -5- -6 (a) Report the coordinates of the center. -3 ). (b) Report each of the following. The length of the semimajor axis is 3 The length of the major axis is 6 • The length of the semiminor axis is 1 The length of the minor axis is 2