What is (y^2)/(b^2)-(x^2)/(a^2)=1 ?

The solution to (y^2)/(b^2)-(x^2)/(a^2)=1 is Hyperbola with (h,k)=(0,0),a=b,b=a

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(y^2)/(b^2)-(x^2)/(a^2)=1

\frac{y ^{2}}{b ^{2}} - \frac{x ^{2}}{a ^{2}} = 1

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

Solution steps

\frac{y ^{2}}{b ^{2}} - \frac{x ^{2}}{a ^{2}} = 1

Rewrite

\frac{y ^{2}}{b ^{2}} - \frac{x ^{2}}{a ^{2}} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

25 y^{2} - x^{2} - 150 y - 16 x + 109 = 0

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

- x^{2} + 36 y^{2} = 36

x^{2} - 4 y^{2} - 2 x - 16 y - 19 = 0

\frac{1}{x - y} + \frac{1}{x + y} = 5

What is (y^2)/(b^2)-(x^2)/(a^2)=1 ?
The solution to (y^2)/(b^2)-(x^2)/(a^2)=1 is Hyperbola with (h,k)=(0,0),a=b,b=a