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

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4X2+9Y2=5

4X2+9Y2=25

4X2+9Y2=7

4X2−9Y2=7

answer is A.

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Detailed Solution

Take 4x−2y+152+92x+y+252=5 . ∴4X2+9Y2=5