7(x+ 1)^2+5(y-2)^2=35
(x+ 1)^2/5+(y-2)^2/7= 1
(y-2)^2/7+(x+ 1)^2/5= 1
Translate 1 unit to the right and 2 units down.
get
y^2/7+x^2/5= 1
It is a standard elliptic equation (an ellipse with the center at (-1, 2) above it).
a^2=7
b^2=5
c^2=2
∴ Centrifugal rate =√2/√7=√ 14/7
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