JEE Advanced Mathematics question

Mathematics Straight Lines JEE Advanced

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation then the orthocentre of the triangle is

(A)Correct
(B)
(C)
(D)none of these

Answer: (A)

Solution

In an equilateral triangle the orthocentre coincides with the centroid, and the altitude from is also the median. The foot of the perpendicular from to is

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Question ID VK-108794