The Vertices Of A Triangles Are A (x1, x1 tan α), B (x2, x2 tan β) And C (x3,x3 tan γ). If The Circumcentre Of Δ ABC coincides With The Origin And H (a, b) Be Its Orthocenter, Then a/b is Equal To:

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The vertices of a triangles are A (x1x1 tan α), B (x2x2 tan β) and C (x3,x3 tan γ). If the circumcentre of Δ ABC coincides with the origin and H (ab) be its orthocenter, then a/b is equal to:


Correct option is

Co-ordinate of orthocenter ≡ (ab).

Circum radius of triangle = OA = R  




So, Co-ordinate of vertices are A (cos α, R sin α), 

          B (R cos β, R sin β) and C (R cos γ, R sin γ).  

Hence, co-ordinate of cetroid G is:


As we know circumcentre, orthocenter and centroid of a triangle are collinear.  




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