The altitude through A of DeltaABC meets...

The altitude through A of `DeltaABC` meets BC at D and the circumscribed circle at E. If `D = (2, 3), E = (5,5)`, the ordinate of the orthocentre being a natural number. If the probability that the orthocentre lies on the lines `y =1; y = 2; y = 3......y = 10` is `m/n` where m and n are

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