SOLUTION: what conic does the equation x^2/16+ y^2/4=1 represent? hyperbola,circle,parabola, or ellipse

Algebra ->  Rational-functions -> SOLUTION: what conic does the equation x^2/16+ y^2/4=1 represent? hyperbola,circle,parabola, or ellipse       Log On


   



Question 437874: what conic does the equation x^2/16+ y^2/4=1 represent? hyperbola,circle,parabola, or ellipse

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Re: reply 4X^2+4Y^2=16
x^2 + y^2 = 4 | II. circle: C(0,0) radius 2
x^2/16+ y^2/4=1 Ellipse
Need to be familiar with various standard forms:
I.The standard form of a Parbola is %28x+-h%29%5E2+=+4p%28y+-k%29
II.Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
III. Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
IV.Standard Form of an Equation of an Hyperbola is
%28x-h%29%5E2%2Fa%5E2+-+%28y-k%29%5E2%2Fb%5E2+=+1 OR %28y-k%29%5E2%2Fb%5E2+-+%28x-h%29%5E2%2Fa%5E2+=+1