What is the center y^2-x^2= 4/25 ?

The center y^2-x^2= 4/25 is (0,0)

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center y^2-x^2= 4/25

center

y^{2} - x^{2} = \frac{4}{25}

(0, 0)

Solution steps

y^{2} - x^{2} = \frac{4}{25}

Rewrite

y^{2} - x^{2} = \frac{4}{25}

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{2}{5}, b = \frac{2}{5}

And the center is:

(0, 0)

x^{2} - y^{2} = 15

(x - 5)^{2} - (y - 4)^{2} = 1

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

\frac{( x + 10 ) ^{2}}{36} - \frac{( y - 3 ) ^{2}}{100} = 1

\frac{( y + 5 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{9} = 1