How to describe the conic?
How do you "Describe the conics"?
x^2-y^2=9
and
25x^2+4y^2=100
How do you "Describe the conics"?
x^2-y^2=9
and
25x^2+4y^2=100
Captain Matticus, LandPiratesInc
Favorite Answer
The first one is a hyperbola. You can tell because both x and y are squared and the sign of the coefficients are opposite.
It's centered on the origin and it has transverse axes of y = +/- x
Its vertices are at (-3 , 0) and (3 , 0)
The 2nd one is an ellipse
It is centered on the origin
It has a semi-major axis of 5 units that is parallel to the y-axis
It has a semi-minor axis of 2 units that is parallel to the x-axis
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Conic section: circle, ellipse, parabola, hyperbola
1.the first one is a hyperbola (since its negative)
* x^2-y^2=9
= x^2/9- y^2/9=1 ( divide both side by 9 to make sure the equation is equal to 1)
2. the second one is an ellipse( since it is positive, if its negative than its hyperbola)
* 25x^2+ 4y^2=100
=x^2/4+ y^2/25=1 (divide both side by 100 and make sure its equal to 1)
so the final equation of the ellipse is x^2/4+ y^2/25=1
for more information go to: http://math2.org/math/algebra/conics.htm