What is x^2+y^2-2y+1=1 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Rewrite

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

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

\frac{1}{2} x^{2} + \frac{1}{3} y^{2} + \frac{1}{5} x - 6 x + 8 y + 2 - x = 0

x^{2} + 2 y + y^{2} < 0

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

64 y^{2} + 300 x + 100 x^{2} = - 81 + 256 y

x^{2} + y^{2} - 9 - 4 x^{2} - 9 y^{2} - 36 = 0

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