Consider the family of lines \( (x-y-6)+\lambda(2 x+y+3)= \) 0 and \( (x+2 y-4)+\mu(3 x-2 y-4)=0...
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0Consider the family of lines \( (x-y-6)+\lambda(2 x+y+3)= \) 0 and \( (x+2 y-4)+\mu(3 x-2 y-4)=0 \).
If the lines of these two families are at right angle to each other, then the locus of their point of intersection, is
(A) \( x^{2}+y^{2}-3 x+4 y-3=0 \)
(B) \( x^{2}+y^{2}+3 x-4 y-3=0 \)
(C) \( x^{2}+y^{2}-3 x-4 y-3=0 \)
(D) \( x^{2}+y^{2}+3 x+4 y-3=0 \)
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