What is x^2+y^2-12y=0 ?

The solution to x^2+y^2-12y=0 is Ellipse with (h,k)=(0,6),a=6,b=6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^2+y^2-12y=0

x^{2} + y^{2} - 12 y = 0

(h, k) = (0, 6), a = 6, b = 6

Solution steps

x^{2} + y^{2} - 12 y = 0

Rewrite

x^{2} + y^{2} - 12 y = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 6), a = 6, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 6), b = 6, a = 6

\frac{x ^{2}}{5} + \frac{y ^{2}}{3} = 1

16 x^{2} + 25 y^{2} - 64 x + 150 y - 11 = 0

\frac{( x + 3 ) ^{2}}{49} + \frac{y ^{2}}{36} = 1

25 x^{2} + 16 y^{2} - 350 x + 96 y - 231 = 0

4 x^{2} + 3 y^{2} - 12 = 0

What is x^2+y^2-12y=0 ?
The solution to x^2+y^2-12y=0 is Ellipse with (h,k)=(0,6),a=6,b=6