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JEE Advanced Mathematics question

MathematicsSolution of TrianglesJEE Advanced

Not in JEE syllabus

AD is a median of the . If AE and AF are medians of the triangles ABD and ADC respectively, and , , , then is equal to

Answer: (A)

Solution

*(Figure: B, E, D, F, C on BC in this order with BE = ED = DF = FC = a/4; A joined to E, D, F.)*

Apollonius' theorem (median length): in a triangle with sides and third side , the median to satisfies .

- In : $=-Missing argument for \dfrac\dfrac{a

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Question ID VK-108715