What is (y^2)/4-(x^2)/(12)=1 ?

The solution to (y^2)/4-(x^2)/(12)=1 is Hyperbola with (h,k)=(0,0),a=2,b=2sqrt(3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(y^2)/4-(x^2)/(12)=1

\frac{y ^{2}}{4} - \frac{x ^{2}}{12} = 1

(h, k) = (0, 0), a = 2, b = 23

Solution steps

\frac{y ^{2}}{4} - \frac{x ^{2}}{12} = 1

Rewrite

\frac{y ^{2}}{4} - \frac{x ^{2}}{12} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 23

4 (x + 5)^{2} - 4 y^{2} = 20

\frac{( x - 27 ) ^{2}}{6} - \frac{( y - 4 ) ^{2}}{10} = 1

x^{2} - y^{2} - 2 x - 4 y - 4 = 0

9 y^{2} - 4 x^{2} - 54 y - 8 x + 41 = 0

(x - 2)^{2} - \frac{( y - 1 ) ^{2}}{4} = 11

What is (y^2)/4-(x^2)/(12)=1 ?
The solution to (y^2)/4-(x^2)/(12)=1 is Hyperbola with (h,k)=(0,0),a=2,b=2sqrt(3)