What is (x^2)/(25)+(y^2)/(11)=1 ?

The solution to (x^2)/(25)+(y^2)/(11)=1 is Ellipse with (h,k)=(0,0),a=5,b=sqrt(11)

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(x^2)/(25)+(y^2)/(11)=1

\frac{x ^{2}}{25} + \frac{y ^{2}}{11} = 1

(h, k) = (0, 0), a = 5, b = 11

Solution steps

\frac{x ^{2}}{25} + \frac{y ^{2}}{11} = 1

Rewrite

\frac{x ^{2}}{25} + \frac{y ^{2}}{11} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{( 11 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 11

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 5, b = 11

4 x^{2} + 2 y^{2} - 7 x + y - 5 = 0

225 x^{2} + 289 y^{2} = 65.025

\frac{x ^{2}}{4} + \frac{3 x}{2} + 9 y^{2} - 18 y + 9 = 0

\frac{x ^{2}}{4} + \frac{z ^{2}}{16} = 4

\frac{( x - 2 ) ^{2}}{100} + \frac{y ^{2}}{36} = 1

What is (x^2)/(25)+(y^2)/(11)=1 ?
The solution to (x^2)/(25)+(y^2)/(11)=1 is Ellipse with (h,k)=(0,0),a=5,b=sqrt(11)