Geometry · UPSC CDS/OTA · Question 18 of 30

Geometry – Question 18

Step-by-step solution. Geometry for UPSC CDS/OTA.

Topic
Geometry
Subject
Mathematics
Difficulty
Medium
Solve Time
45–60 sec

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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

Solution illustration 1
Final Answer: Option B — 6
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Geometry Question 18 – UPSC CDS/OTA