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Question
If $$A = ( 1,2 ) , B = ( 3 , - 2 )$$ and $$P$$ moves in the plane such that $$A P + B P = 7$$ then the locus of $$P$$ has two axes of symmetry. Their equations are:
A
$$x- 2 y + 3 = 0,2 x + y = 4$$
B
$$2 x + y = 4 , x - 2 y = 2$$
C
$$x - 2 y = 2 , x - y + 1 = 0$$
D
$$x - 2 y = 7 ; 2 x + y = 4$$
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Solution
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Correct option is A. $$x- 2 y + 3 = 0,2 x + y = 4$$
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