What is the center 4y^2-x^2=900 ?

The center 4y^2-x^2=900 is (0,0)

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center 4y^2-x^2=900

center

4 y^{2} - x^{2} = 900

(0, 0)

Solution steps

4 y^{2} - x^{2} = 900

Rewrite

4 y^{2} - x^{2} = 900

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{1 5 ^{2}} - \frac{( x - 0 ) ^{2}}{3 0 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = 30

And the center is:

(0, 0)

4 x^{2} - 9 y^{2} - 16 x + 18 y - 11 = 0

\frac{( y - 3 ) ^{2}}{11} - \frac{( x + 1 ) ^{2}}{5} = 1

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

x^{2} - 5 y^{2} - 6 x - 10 y - 1 = 0

4 y^{2} = 4 x^{2} + 12 y - 69 + 32 x