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A B C is a variable triangle such that ...

`A B C` is a variable triangle such that `A` is (1,2) and `B` and `C` lie on line `y=x+lambda` (where `lambda` is a variable). Then the locus of the orthocentre of triangle `A B C` is (a) `(x-1)^2+y^2=4` (b) `x+y=3` (c) `2x-y=0` (d) none of these

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