What is y^2=1-16x^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^2=1-16x^2

y^{2} = 1 - 16 x^{2}

(h, k) = (0, 0), a = \frac{1}{4}, b = 1

Solution steps

y^{2} = 1 - 16 x^{2}

Rewrite

y^{2} = 1 - 16 x^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{4}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 1, a = \frac{1}{4}

4 x^{2} + y^{2} + 12 x + 6 y + 5 = 0

2 y^{2} + 4 z^{2} = 4

4 x^{2} + 2 y^{2} - 4 x + 2 y + 1 = 0

\frac{x ^{2}}{2 2 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

(x + 5)^{2} + \frac{3}{10} y^{2} = 34

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