12(x')^2+3(y')^2=48 rotated 30 degrees from its position in the xy-plane what is type of conic, orientation, center and the values of a, b, c

Find the equation of the ellipse with the major axis from (-9,2) to (1,2) and minor axis from (1,-1) to (7,-1) Edit View Insert Format Tools 12pt v Paragraph Table BIU Αν VT² V hp DAV B✓ | R | v

The plane x+y+2z=4 intersects the paraboloid z=x^2+y^2 in an ellipse. Find the points on this ellipse that are nearest to and farthest from the origin

Find the general conic form. The final answer should look something like this x^2+4y^2-64y=-156