It's all on the circle
Geometry
Level
2
Given that \(a,b,c\) and \(d\) are 4 distinct non-zero real numbers such that the points \(\left(a,\dfrac{1}{a}\right)\), \(\left(b,\dfrac{1}{b}\right)\), \(\left(c,\dfrac{1}{c}\right)\) and \(\left(d,\dfrac{1}{d}\right)\) lie on a circle.
Find the value of \(a\times b\times c\times d\).
by
Dinesh Nath Goswami