What is 9y^2-16x^2=1 ?

The solution to 9y^2-16x^2=1 is Hyperbola with (h,k)=(0,0),a= 1/3 ,b= 1/4

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9y^2-16x^2=1

9 y^{2} - 16 x^{2} = 1

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{4}

Solution steps

9 y^{2} - 16 x^{2} = 1

Rewrite

9 y^{2} - 16 x^{2} = 1

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{1}{4} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{3}, b = \frac{1}{4}

4 x^{2} - 16 y^{2} - 10 x + 21 y - 27 = 0

\frac{x ^{2}}{3} - \frac{y ^{2}}{4} = 1

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

\frac{x ^{2}}{58} - \frac{y ^{2}}{120} = 1

\frac{( x - 5 ) ^{2}}{36} - \frac{( y - 2 ) ^{2}}{16} = 1

What is 9y^2-16x^2=1 ?
The solution to 9y^2-16x^2=1 is Hyperbola with (h,k)=(0,0),a= 1/3 ,b= 1/4