SOLUTION: Give the slope of the asymptotes of the conic section x^2/144 + y^2/25=1

Question 328448: Give the slope of the asymptotes of the conic section x^2/144 + y^2/25=1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

This is an ellipse. It doesn't have any asymptotes.

How do I know it is an ellipse?

If you have an

term but no

term (or vice versa) you have a parabola.

If the

and the

terms have opposite signs, you have a hyperbola (and you have asymptotes).

If the

and the

terms have identical coefficients, then you have a circle.

If (as in this case) the

and the

terms have unequal coefficients with the same sign, then you have an ellipse.

John

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