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When the axes are rotated through an angle `45^@`, the transformed equation of a curve is `17x^2-16xy+17y^2=225`. Find the original equation of the curve.

A

`25x^(2)+9y^(2)=225`

B

`9x^(2)-25y^(2)=225`

C

`25x^(2)-16xy+9y^(2)=2251`

D

`9x^(2)+25y^(2)=225`

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The correct Answer is:
A
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