Solved UPSC CDS/OTA Question
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Q · GeometryMedium · 45s
Two medians AD and BE of ΔABC intersect at G at right angles. If AD = 9 cm and BE = 6 cm. Then the length of BD in cm is
TopicGeometry
Question Typemultiple choice
DifficultyMedium
Marking+1 / −0.33
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
Hence, ΔBGC is a right-angle triangle
BD₂ = BG₂ + DG₂
BD₂ = (4)2 + (3)2
16 + 9 = 25
BD = 5 cm

Final Answer: Option B — 6