What is 9x^2+y^2-100=0 ?

The solution to 9x^2+y^2-100=0 is Ellipse with (h,k)=(0,0),a= 10/3 ,b=10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9x^2+y^2-100=0

9 x^{2} + y^{2} - 100 = 0

(h, k) = (0, 0), a = \frac{10}{3}, b = 10

Solution steps

9 x^{2} + y^{2} - 100 = 0

Rewrite

9 x^{2} + y^{2} - 100 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{10}{3} ) ^{2}} + \frac{( y - 0 ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{10}{3}, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 10, a = \frac{10}{3}

9 x^{2} + 16 y^{2} + 180 x - 256 y - 452 = 0

9 x^{2} + 6 y^{2} = 54

\frac{( ( x - 4 ) ^{2} + y ^{2} )}{( x - 1 ) ^{2}} = \frac{1}{3}

x^{2} + 9 y^{2} - 2 x - 72 y + 136 = 0

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

What is 9x^2+y^2-100=0 ?
The solution to 9x^2+y^2-100=0 is Ellipse with (h,k)=(0,0),a= 10/3 ,b=10