JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

Three vertical poles of heights and at the vertices A, B and C of a subtend angles and respectively at the circumcentre of the triangle. If and are in AP then are in

Answer: (C)

Solution

The circumcentre O is at distance (circumradius) from each vertex. The pole at A subtends angle at O, i.e. its top is seen at elevation from O, so

α = ⇒ α = ,

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Question ID VK-108758