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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.

Text Solution

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With the given notation, we have
`x=X+4,y=Y+5`
or `X=x-4,Y=y-5`
Therefore, the required equation is
`(x-4)^2+(y-5)^2=36`
or `x^2+y^2-8x-10y+5=0`
which is the eqaution referred to the original axes.
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