Solve the below:
Equation Point
4x^2-24x-25y^2+250y-489=0 (27⁄4,5⁄2)
(1) Identify the conic section represented by the equation.
(2) Write the equation of the conic section in standard form.
(3) Identify all relevant key elements of your conic section such as center, focus/foci, directrix, radius, lengths of major and/or minor axes,
equations of asymptotes, and length of latus rectum.
(4) Sketch the graph of the conic section.
(5) Determine the equation of the line that is tangent to the conic section at the provided point.
(6) Write a brief (two to three paragraph) essay describing the four nondegenerate conic sections, how you knew to distinguish your conic section from the other three, and a possible application that might involve your type of conic section