Hyperbolic Product

Geometry Level pending

A = t 1 , B = t 2 , C = t 3 , D = t 4 A=t_1, B=t_2, C=t_3, D=t_4 are four concyclic points on the rectangular hyperbola x y = 900 xy=900 .

Find the product t 1 t 2 t 3 t 4 t_1 \cdot t_2 \cdot t_3 \cdot t_4 .

Note:- We define parametric points on a rectangular hyperbola x y = c 2 xy=c^2 as ( c t , c t ) (ct,\frac {c}{t}) .


The answer is 1.

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