What is 11x^2+13y^2-143=0 ?

The solution to 11x^2+13y^2-143=0 is Ellipse with (h,k)=(0,0),a=sqrt(13),b=sqrt(11)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

11x^2+13y^2-143=0

11 x^{2} + 13 y^{2} - 143 = 0

(h, k) = (0, 0), a = 13, b = 11

Solution steps

11 x^{2} + 13 y^{2} - 143 = 0

Rewrite

11 x^{2} + 13 y^{2} - 143 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 13 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 11 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 13, b = 11

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 13, b = 11

x^{2} + 3 y^{2} - 12 y + 9 = 0

4 x^{2} + 9 y^{2} - 40 x + 36 y + 100 = 0

\frac{( x - 8 ) ^{2}}{64} + \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

x^{2} + 3 y^{2} = 7

\frac{( x - 8 ) ^{2}}{49} + \frac{( y + 5 ) ^{2}}{9} = 1

What is 11x^2+13y^2-143=0 ?
The solution to 11x^2+13y^2-143=0 is Ellipse with (h,k)=(0,0),a=sqrt(13),b=sqrt(11)