The new equation of the curve 4(x-2y+1)^...

The new equation of the curve `4(x-2y+1)^(2)+9(2x+y+2)^(2)=25`, if the lines `2x+y+2=0` and `x-2y+1=0` are taken as the new x and y axes respectively is

A

`9x^(2)+4y^(2)=5`

B

`4x^(2)+9y^(2)=25`

C

`9x^(2)+4y^(2)=7`

D

`4x^(2)+9y^(2)=49`

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The correct Answer is:

A

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