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maths_for_fun
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Source: Beat The GMAT — Data Sufficiency |
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Rahul@gurome
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Refer to this post: https://www.beatthegmat.com/mgmat-coordi ... tml#310844
Rahul Lakhani
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Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
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frank1
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I remember solution to this problem
st 1--Insufficient
(1) a/b = c/d
cross multiply
ad=bc.......i
st 2-Insufficient
root a^2 + root b^2 = root c^2+root d^2
which implies
a+b=c+d....ii
now st 1+2 (If we can prove a=c and b=d,we can say it is equidistant)
eq ii.............
a+b=c+d
multiplying eg by b
b(a+b)=bc+bd
b(a+b)=ad+bd substitution from st i (ad=bc)
b(a+b)=d(a+b)
b=d
from st i (ad=bc)
since b=d
a=c
so a=c and b=d (distance) so they are equidistant
So C
Thanks
st 1--Insufficient
(1) a/b = c/d
cross multiply
ad=bc.......i
st 2-Insufficient
root a^2 + root b^2 = root c^2+root d^2
which implies
a+b=c+d....ii
now st 1+2 (If we can prove a=c and b=d,we can say it is equidistant)
eq ii.............
a+b=c+d
multiplying eg by b
b(a+b)=bc+bd
b(a+b)=ad+bd substitution from st i (ad=bc)
b(a+b)=d(a+b)
b=d
from st i (ad=bc)
since b=d
a=c
so a=c and b=d (distance) so they are equidistant
So C
Thanks
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