What is 16x^2+y^2=16 ?

The solution to 16x^2+y^2=16 is Ellipse with (h,k)=(0,0),a=1,b=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

16x^2+y^2=16

16 x^{2} + y^{2} = 16

(h, k) = (0, 0), a = 1, b = 4

Solution steps

16 x^{2} + y^{2} = 16

Rewrite

16 x^{2} + y^{2} = 16

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{1 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 1

y^{2} = 3 x

\frac{y ^{2}}{25} - \frac{x ^{2}}{16} = 1

\frac{x ^{2}}{36} + \frac{y ^{2}}{25} = 1

9 x^{2} - 16 y^{2} = 144

x^{2} + y^{2} + 6 x - 4 y = 0

What is 16x^2+y^2=16 ?
The solution to 16x^2+y^2=16 is Ellipse with (h,k)=(0,0),a=1,b=4