Question 633806
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Hi,
{{{(y^(2))/(100)-(x^(2))/(34)=1}}}
  C(0,0), 
{{{F[d] = sqrt(100+34) = sqrt(134)}}} 
Foci (0±{{{sqrt(134)}}}, 0) 
Standard Form of an Equation of an Hyperbola opening up and down is:
  {{{(y-k)^2/b^2 - (x-h)^2/a^2 = 1}}} with C(h,k) and vertices 'b' units up and down from center,  2b the length of the transverse axis
Foci {{{sqrt(a^2+b^2)}}}units units up and down from center, along x = h
& Asymptotes Lines passing thru C(h,k), with slopes m =  ± b/a