Q: 148 (IAS/1999)
question_subject:
Maths
question_exam:
IAS
stats:
0,3,1,0,1,3,0
keywords:
{'distance': [0, 3, 3, 3], 'cartesian coordinates': [0, 1, 0, 0], 'play': [0, 2, 0, 0], 'players': [0, 1, 4, 2], 'field': [1, 1, 4, 8], 'units': [1, 2, 4, 7]}
To find the distance between two points in a Cartesian coordinate system, we can use the distance formula:
Distance = ?((x2 - x1)^2 + (y2 - y1)^2)
Using the given coordinates:
Player 1: (20, 60)
Player 2: (-40, -20)
Distance = ?((-40 - 20)^2 + (-20 - 60)^2)
= ?((-60)^2 + (-80)^2)
= ?(3600 + 6400)
= ?10000
= 100 units
Therefore, the distance between the players is 100 units.