What is the foci ((y)^2)/(121)-((x)^2)/(81)=1 ?

The foci ((y)^2)/(121)-((x)^2)/(81)=1 is (0,sqrt(202)),(0,-sqrt(202))

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foci ((y)^2)/(121)-((x)^2)/(81)=1

foci

\frac{( y ) ^{2}}{121} - \frac{( x ) ^{2}}{81} = 1

(0, 202), (0, - 202)

Solution steps

(h, k + c), (h, k - c)

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

(0, 0 + c), (0, 0 - c)

Compute

c :

c = 1 1^{2} + 9^{2} : 202

(0, 0 + 202), (0, 0 - 202)

Refine

(0, 202), (0, - 202)

8 x^{2} - 3 y^{2} = 24

\frac{( y ) ^{2}}{40} - \frac{( x ) ^{2}}{81} = 1

+ 9 x^{2} - 16 y^{2} = 144

\frac{x ^{2}}{4} - \frac{( y + 3 ) ^{2}}{9} = 1

\frac{( x - 2 ) ^{2}}{1} - \frac{( y + 3 ) ^{2}}{9} = 1

What is the foci ((y)^2)/(121)-((x)^2)/(81)=1 ?
The foci ((y)^2)/(121)-((x)^2)/(81)=1 is (0,sqrt(202)),(0,-sqrt(202))