If( mi, 1/ mi), i = 1,2,3,4 are concyclic points then the value of m1m2m3m4 is
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Assume the the equation of the circle on which the given four points lie to be – x² + y² + 2gx + 2fy + c = 0.
Now putting the coordinates according to the equation
(Mi)² + (1/Mi² + 2gMi + 2f/Mi + c = 0, and multiplying by Mi2,
(Mi)²+ 2gMi³ + cMi2 + 2fMi + 1 = 0.
From this clearly -> M1M2M3M4 = 1 or
1/(M1M2M3M4) = 1
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