Find an equation for the hyperbola that satisfies the given
Find an equation for the hyperbola that satisfies the given conditions.
Foci: (±5, 0), vertices: (±3, 0)
Solution
focii=(+-5,0) vertices=(+-3,0)
focii=(h+-c,k) and vertices=(h+-a,k)
here h and k=0
Therefore c=5 and a=3
c^2=a^2 + b^2
25=9 + b^2
b=4
required equation is
x^2/ 3^2 - y^2/4^2=1
x^2/9 - y^2/16=1
