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Mathematical problems about coordinate transformation
Translation does not change the shape.

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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