If in the ABC, the incentre is the middle point of the median AD then A has the value

JEE Advanced Mathematics question

Not in JEE syllabus

If in the , the incentre is the middle point of the median then has the value

Answer: (B)

*(Figure: median ( the midpoint of ), incentre on with .)*

In , bisects , so by the angle-bisector theorem . With : .

In , bisects , so

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Question ID VK-108704