# 1729 is interesting!

Geometry Level 5

The above diagram shows an ellipse $$(E):$$ $\frac{(x-17)^2}{17}+\frac{(y-29)^2}{29}=1729$Suppose $$S_1,S_2,S_3$$ and $$S_4$$ represent the area of 1, 2, 3 and 4 marked on the diagram. Determine the value of $$M=S_1+S_3-(S_2+S_4)$$.

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