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Let f1 (x,y)-=ax^2+2hxy+by^2=0 and let ...

Let `f_1 (x,y)-=ax^2+2hxy+by^2=0 ` and let `f_(i+1) (x,y)=0` denote the equation of the bisectors of `f_i (x,y)=0 ` for all i=1,2,3,…..
If `f_1 (x,y)=0` repersents the equation of a pair of perpendicular lines , then `f_3(x,y) =0` is same as

A

`hx^2-(a-b)xy-hy^2=0`

B

`(a-b)x^2+4hxy-(a-b)y^2=0`

C

`ax^2+2hxy+by^2=0`

D

None of the above

Text Solution

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The correct Answer is:
B
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