Consider the equation below.x + y - 2x - 4y - z+ 5 = 0Reduce the equation to one of the standard forms.Classify the surface.O

Consider the equation below.x² + y² - 2x - 4y - z+ 5 = 0Reduce the equation to one of the standard forms.Classify the surface.O ellipsoidO elliptic paraboloidO hyperbolic paraboloidO coneO hyperboloid of one sheetO hyperboloid of two sheetsSketch the surface. (If an answer does not exist, enter DNE. Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)(Write an equation for the cross section at z = -1 using x and y.)(Write an equation for the cross section at z = 1 using x and y.)(Write an equation for the cross section at y = 0 using x and z.)(Write an equation for the cross section at y = 2 using x and z.)(Write an equation for the cross section at x = 0 using y and z.)(Write an equation for the cross section at x = 1 using y and z.)