# conic section

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

https://brainmass.com/math/derivatives/conic-section-explored-360059

#### Solution Preview

See the attachment please.

Equation Point

4x2-24x-25y2+250y-489=0 274,52

( 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 ...

#### Solution Summary

Identify the conic section represented by the equation.