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Consider the triangle ABC having vertex A(1,1) and its orthocentre is (2,4). Also side AB & BC are members of the family of line, `ax + by + c = 0` where a,b,c are in A.P.
The vertex C is :

A

(4,16)

B

(17,-4)

C

(4,-17)

D

(-17,4)

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A
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