Hyperbola x 2/a 2-y 2/b 2 =1

Asymptote equation: y=b/ax

ay=bx

bx-ay=0

Cyclic equation: (x-2) 2+y 2 = 4

Center (2,0) and radius r=2

Distance from the center of the circle to the asymptote:

d=|2b-a×0|/√[b^2+(-a)^2]

=2b/√(a^2+b^2)

D, r and half the chord length form a right triangle.

d^2+(2/2)^2=r^2

[2b/√(a^2+b^2)]^2+ 1^2=2^2

4b^2/(a^2+b^2)+ 1=4

4b^2/(a^2+b^2)=3

4b^2=3(a^2+b^2)

4b^2=3a^2+3b^2

b^2=3a^2

c^2-a^2=3a^2

c^2=4a^2

(c/a)^2=4

c/a=2

e=2