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Q147
(IAS/1999)
Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics
Answer Verified
At a given time, two players are standing on a play-field. The cartesian coordinates of their locations are (20, 60) and (-40, -20) units. What is the distance between the players ?
Result
Your answer:
—
·
Correct:
C
Explanation
Use the Euclidean distance formula d = √[(x2 − x1)^2 + (y2 − y1)^2] to find the straight‑line distance between two points in the plane. For points (20, 60) and (−40, −20), take x1=20, y1=60, x2=−40, y2=−20. Compute differences: Δx = −40 − 20 = −60 and Δy = −20 − 60 = −80. Square and add: (−60)^2 + (−80)^2 = 3600 + 6400 = 10000. Taking the square root gives d = √10000 = 100 units. Therefore the distance between the players is 100 units (Option 3).
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