What is the foci 16y^2-25x^2=1600 ?

The foci 16y^2-25x^2=1600 is (0,2sqrt(41)),(0,-2sqrt(41))

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foci 16y^2-25x^2=1600

foci

16 y^{2} - 25 x^{2} = 1600

(0, 241), (0, - 241)

Solution steps

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

Calculate Hyperbola properties

16 y^{2} - 25 x^{2} = 1600 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 10, b = 8

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

Compute

c :

c = 1 0^{2} + 8^{2} : 241

(0, 0 + 241), (0, 0 - 241)

Refine

(0, 241), (0, - 241)

\frac{( x - 1 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{16} = 1

\frac{y ^{2}}{4} - \frac{x ^{2}}{4} = 1

\frac{( y + 2 ) ^{2}}{16} - \frac{( x - 3 ) ^{2}}{9} = 1

\frac{x ^{2}}{100} - \frac{y ^{2}}{49} = 1

\frac{( y - ( - 2 ) ) ^{2}}{9} - \frac{( x - 5 ) ^{2}}{27} = 1

What is the foci 16y^2-25x^2=1600 ?
The foci 16y^2-25x^2=1600 is (0,2sqrt(41)),(0,-2sqrt(41))