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Popular >

x^2+4y^2=4

Solution

x^{2} + 4 y^{2} = 4

Solution

(h, k) = (0, 0), a = 2, b = 1

Solution steps

x^{2} + 4 y^{2} = 4

Rewrite

x^{2} + 4 y^{2} = 4

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 ^{2}} + \frac{( y - 0 ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2, b = 1

Popular Examples

x^2+4x+y^2-6y=-4

x^{2} + 4 x + y^{2} - 6 y = - 4

foci x^2+x+1 foci

x^{2} + x + 1

vertices (x^2}{16}+\frac{y^2)/9 =1 vertices

\frac{x ^{2}}{16} + \frac{y ^{2}}{9} = 1

x^2+y^2-2x+6y+6=0

x^{2} + y^{2} - 2 x + 6 y + 6 = 0

axis y=-x^2+4x+1 axis

y = - x^{2} + 4 x + 1

Frequently Asked Questions (FAQ)

What is x^2+4y^2=4 ?
The solution to x^2+4y^2=4 is Ellipse with (h,k)=(0,0),a=2,b=1