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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If AD,  BEAD,\,\,BE and CFCF are the medians of a Δ ABC\Delta \,ABC, then (AD2+BE2+CF2)  :  (BC2+CA2+AB2)\left( {A{D^2} + B{E^2} + C{F^2}} \right)\;:\,\,\left( {B{C^2} + C{A^2} + A{B^2}} \right) is equal to
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Correct option: C
3  :43\;:4
Option C (3:43:4) is correct because the ratio of the sum of squares of medians to the sum of squares of sides of a triangle is always 3:43:4.

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