What is (x-2)^2-((y-1)^2)/4 =11 ?

The solution to (x-2)^2-((y-1)^2)/4 =11 is Hyperbola with (h,k)=(2,1),a=sqrt(11),b=2sqrt(11)

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(x-2)^2-((y-1)^2)/4 =11

(x - 2)^{2} - \frac{( y - 1 ) ^{2}}{4} = 11

(h, k) = (2, 1), a = 11, b = 211

Solution steps

(x - 2)^{2} - \frac{( y - 1 ) ^{2}}{4} = 11

Rewrite

(x - 2)^{2} - \frac{( y - 1 ) ^{2}}{4} = 11

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 11, b = 211

8 x^{2} - 15 y^{2} - 120 = 0

x^{2} - y^{2} - 2 x - 10 y - 29 = 0

9 (y + 3)^{2} - 1 (x + 2)^{2} = 15

\frac{y ^{2}}{64} - \frac{x ^{2}}{16} = 1

\frac{( x - 4 ) ^{2}}{16} - \frac{( y + 5 ) ^{2}}{25} = 1

What is (x-2)^2-((y-1)^2)/4 =11 ?
The solution to (x-2)^2-((y-1)^2)/4 =11 is Hyperbola with (h,k)=(2,1),a=sqrt(11),b=2sqrt(11)