What is (x^2)/(81)+(y^2)/(121)=1 ?

The solution to (x^2)/(81)+(y^2)/(121)=1 is Ellipse with (h,k)=(0,0),a=9,b=11

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(x^2)/(81)+(y^2)/(121)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{121} = 1

(h, k) = (0, 0), a = 9, b = 11

Solution steps

\frac{x ^{2}}{81} + \frac{y ^{2}}{121} = 1

Rewrite

\frac{x ^{2}}{81} + \frac{y ^{2}}{121} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{1 1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 11

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 11, a = 9

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

3 x^{2} + 2 y^{2} - 6 x + 8 y + 5 = 0

\frac{( x + 3 ) ^{2}}{21} + \frac{( y - 6 ) ^{2}}{25} = 1

9 x^{2} + 25 y^{2} + 18 x + 100 y - 116 = 0

\frac{( x ^{2} )}{4} + \frac{( y ^{2} )}{9} = 1

What is (x^2)/(81)+(y^2)/(121)=1 ?
The solution to (x^2)/(81)+(y^2)/(121)=1 is Ellipse with (h,k)=(0,0),a=9,b=11