An hyperbola looks sort of like two mirrored parabolas, with the two "halves" being called "branches".
The equation of hyperbola is:[tex] \frac{(x-h)^{2}}{a^{2}} -\frac{(y-k)^{2}}{b^{2}} =1 [/tex]
As, Center is origin or (0,0). The equation becomes:[tex] \frac{x^{2}}{a^{2}} -\frac{y^{2}}{b^{2}} =1 [/tex]
As one focus is (-50,0). So, the other focus is (50,0). (As shown in diagram)