Q.

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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a

4X2+9Y2=5

b

4X2+9Y2=25

c

4X2+9Y2=7

d

4X2−9Y2=7

answer is A.

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Detailed Solution

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