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Let orthocentre of triangle ABC is H1,or...

Let orthocentre of triangle ABC is `H_1`,orthocentre of triangle `BH_1C` is `H_2`,orthocentre of triangle `BH_2C` is `H_3` and so on. If `A(1, 1), B(1, 2) and C(2, 3)` and co-ordinate Of `H_10` are `(alpha, beta)`, then `alphabeta` is equal to

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