Solved UPSC CDS/OTA Question
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Q · GeometryMedium · 45s
Which one of the following is a Pythagorean triple in which one side differs from the hypotenuse by two units? Where, n is a positive real number.
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.
By hit and trial method,
Put n = 2 in option (d)
= [(2 × 2), (2)2 – 1, (2)2 + 1] = (4, 3, 5)
which satisfies Pythagoras theorem and one side differs from hypotenuse by 2 units.
Final Answer: Option D - (2n, n₂ – 1, n₂ + 1)