Shailesh K. answered • 04/18/20

Expert Physics Tutor for Past 10 Years & MS in Electrical Engineering

Standard equation of hyperbola is

(x/a)^2 - (y/b)^2 = 1 here (a, 0) and (-a, 0) are vertices and asymptotes y = ± ±(b/a)x

Foci are (c, 0) & (-c, 0) then a^2 + b^2 = c^2

In our example 2a = 10 and 2c = 12. Therefore a = 5 and c = 6

Substituting a and c in Pythagorean identity b^2 = 11

Then equation of hyperbola is

(x/5)^2 - y^2/11 = 1

I hope this help.