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The equation of the altitudes AD, BE, CF...

The equation of the altitudes AD, BE, CF of a triangle ABC are `x + y = 0, x-4y = 0 and 2x-y = 0`, respectively. lf. A = (t,-t) where t varies, then the locus of centroid of triangle ABC is (A) `y = -5x` (B) `y=x` (C) `x = -5y` (D) `x = y`

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