Find the equation of the hyperbola satisfying the given cond

Find the equation of the hyperbola satisfying the given conditions.

Vertices at (5, 1) and (-7, 1); asymptotes (y - 1) = 1/3(x + 1) and (y - 1) = -1/3(x + 1)

Solution

centre =((5-7)/2,(1+1)/2)

centre =(-1,1)

a =1

b =3

equation of hyperbola is (y-1)²/1² -(x-(-1))²/3²=1

equation of hyperbola is (y-1)²/1 -(x+1)²/9=1