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Popular >

x^2+y^2=2y

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Popular Examples

6x^2+8y^2+12x-32y=178

6 x^{2} + 8 y^{2} + 12 x - 32 y = 178

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

4x^2+9y^2-16x+18y-11=0

4 x^{2} + 9 y^{2} - 16 x + 18 y - 11 = 0

3x^2+y^2-24x+39=0

3 x^{2} + y^{2} - 24 x + 39 = 0

9x^2+16y^2-54x+64y+1=0

9 x^{2} + 16 y^{2} - 54 x + 64 y + 1 = 0

Frequently Asked Questions (FAQ)

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