What is 3x^2+3y^2-18y=0 ?

The solution to 3x^2+3y^2-18y=0 is Ellipse with (h,k)=(0,3),a=3,b=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x^2+3y^2-18y=0

3 x^{2} + 3 y^{2} - 18 y = 0

(h, k) = (0, 3), a = 3, b = 3

Solution steps

3 x^{2} + 3 y^{2} - 18 y = 0

Rewrite

3 x^{2} + 3 y^{2} - 18 y = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 3 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 3), a = 3, b = 3

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 3), b = 3, a = 3

1 = 4 x^{2} + 9 y^{2}

X^{2} + 3 Y^{2} - 4 X - 23 = 0

\frac{( x ) ^{2}}{3} + \frac{( y ) ^{2}}{12} = 1

\frac{x ^{2}}{36} + \frac{y ^{2}}{144} = 1

\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}

What is 3x^2+3y^2-18y=0 ?
The solution to 3x^2+3y^2-18y=0 is Ellipse with (h,k)=(0,3),a=3,b=3