What is 4-x^2-4y^2=1 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

4-x^2-4y^2=1

4 - x^{2} - 4 y^{2} = 1

(h, k) = (0, 0), a = 3, b = \frac{3}{2}

Solution steps

4 - x^{2} - 4 y^{2} = 1

Rewrite

4 - x^{2} - 4 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = \frac{3}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = \frac{3}{2}

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