(11) - Incoming and Outcoming. (Corrected once)

Geometry Level 5

M \text{M} and N \text{N} are respectively points on the circumscribed circle and incircle of ABCD \square{\text{ABCD}} . Calculate the value of

MA 4 + MB 4 + MC 4 + MD 4 2 ( NA 2 NC 2 + NB 2 ND 2 ) \large \dfrac{\text{MA}^4 + \text{MB}^4 + \text{MC}^4 + \text{MD}^4}{2(\text{NA}^2\text{NC}^2 + \text{NB}^2\text{ND}^2)}

The answer is 9.6.

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