In the rectangular coordinate system, are the points (r,s) and (u,v) equidistant from the origin?
1> r+s=1
2> u=1-r and v=1-s
OA is C
Can anyone of you explain the concepts here.
Rectangular Coordinate System - Data Sufficiency
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distance of r and s from center r^2 + s^2
distance of u and v u^2 + v^2
1...not sufficient ..no u and v present
2....squaring both sides
we get u ^2 = 1+r^2 -2r
V^2 = 1 +s^2 -2s
add them up
u^2 + V^2 = 2 + r^2 + s^2 -2r -2s
clearly not sufficient
put r = 1-s from 1
we get r^2 + S^2 = u^2 +v^2
hence C
distance of u and v u^2 + v^2
1...not sufficient ..no u and v present
2....squaring both sides
we get u ^2 = 1+r^2 -2r
V^2 = 1 +s^2 -2s
add them up
u^2 + V^2 = 2 + r^2 + s^2 -2r -2s
clearly not sufficient
put r = 1-s from 1
we get r^2 + S^2 = u^2 +v^2
hence C