If O is the orthocentre of triangle ABC whose vertices are at `A(at_(1)^(2),2at_(1), B (at_(2)^(2),2at_(2)) and C (at_(3)^(2), 2at_(3))` then the coordinates of the orthocentreof `Delta O'BC ` are

Options

A. `(a(t_(1)^(2)+t_(2)^(2)+t_(3)^(2)),2a(t_(1)+t_(2)+t_(3)))`
B. `(-a,0)`
C. `(at_(1)^(2),2at_(1))`
D. `(0,a)`

Answer

C

Explanation

Clearly, is the orthocentre of `Delta'BC`. So, the coordiantes of orthocentre of `DeltaO'BC` are `(at_(1)^(2),2at_(1))`