Solved UPSC CDS/OTA Question
A solved UPSC CDS/OTA PYQ - decoded step-by-step.
Solve it the standard way once - then learn the shortcut.
Q · GeometryMedium · 45s
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.
In ΔABC
∠ABC = 90°
Hence, ΔABC is a right-angle triangle
In ΔABQ,
AQ₂ = AB₂ + BQ₂ …(i)
In ΔPBC
PC₂ = PB₂ + BC₂ …(ii)
Add both equation
AQ₂ + CP₂ = AB₂ + BC₂ + BQ₂ + PB₂
(AC₂ + AB₂ + BC₂)
(PC₂ + BP₂ + BQ₂) an equilateral
AQ₂ + CP₂ = AC₂ + PQ₂
Final Answer: Option D