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The coordinate axes are rotated through ...

The coordinate axes are rotated through an angle `22^(0)` about the origin. If the equation `4x^(2)+12xy+9y^(2)+6x+9y+2=0` changes to `ax^(2)+2hxy+by^(2)+2g x+2fy+c=0` then value of `(g^(2)-ac)/(a^(2)+h^(2))=`

A

`(1)/(52)`

B

`(1)/(36)`

C

`(-27)/(52)`

D

`(1)/(40)`

Text Solution

Verified by Experts

The correct Answer is:
A
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