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The equation of curve referred to the ne...

The equation of curve referred to the new axes, axes retaining their directions, and origin `(4,5)` is `X^2+Y^2=36` . Find the equation referred to the original axes.

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To find the equation of the curve referred to the original axes when the new axes have the origin at (4, 5) and the equation is given as \( X^2 + Y^2 = 36 \), we follow these steps: ### Step 1: Understand the relationship between the new and old coordinates The new coordinates \( (X, Y) \) are related to the old coordinates \( (x, y) \) by the equations: \[ X = x - 4 \] \[ ...
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