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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x^2)/4+4y^2=1

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

(h, k) = (0, 0), a = 2, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = \frac{1}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 2, b = \frac{1}{2}

9 x^{2} + 16 y^{2} - 90 x + 256 y + 1105 = 0

9 x^{2} + 25 y^{2} - 18 x - 110 y - 116 = 0

33 x^{2} + 13 y^{2} - 396 x + 267 y + 850 = 0

x^{2} + 4 x + 7 y^{2} + y = 0

144 x^{2} + 64 y^{2} + 864 x - 640 y = - 2320

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