What is (x^2)/(36)+(y^2)/(121)=1 ?

The solution to (x^2)/(36)+(y^2)/(121)=1 is Ellipse with (h,k)=(0,0),a=6,b=11

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(x^2)/(36)+(y^2)/(121)=1

\frac{x ^{2}}{36} + \frac{y ^{2}}{121} = 1

(h, k) = (0, 0), a = 6, b = 11

Solution steps

\frac{x ^{2}}{36} + \frac{y ^{2}}{121} = 1

Rewrite

\frac{x ^{2}}{36} + \frac{y ^{2}}{121} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} + \frac{( y - 0 ) ^{2}}{1 1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, 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 = 6

(x + 8)^{2} + (\frac{y + 1}{2})^{2} = 3

4 x^{2} + y^{2} - 8 x + 6 y + 9 = 0

\frac{( x + 3 ) ^{2}}{24} + \frac{( y - 5 ) ^{2}}{49} = 1

\frac{( x + 3 ) ^{2}}{64} + \frac{( y - 6 ) ^{2}}{100} = 1

y^{2} = 1 - 0.25 x^{2}

What is (x^2)/(36)+(y^2)/(121)=1 ?
The solution to (x^2)/(36)+(y^2)/(121)=1 is Ellipse with (h,k)=(0,0),a=6,b=11