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reply2spg
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IN PS of GMAT for Geometry certain things can be assumed from the fig...
here X and Y denotes a coordinate system and Int of X and Y is origin
this is enough to assume

Had it been a DS , assuming the intersection as origin wud be wrng
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xcusemeplz2009
OP=OQ=radius
OP=sqrt[(0-rut3)^2+(0-1)^2]=2-------------dis formula
radius=2---->OQ=2

OQ=sqrt[s^2+t^2]=4----->s^2+t^2=2....eqn 1

pythagoras theroem
OP^2+OQ^2=PQ^2

PQ^2= (s+RUT3)^2+(t-1)^2....DIS FORM
---->(s+RUT3)^2+(t-1)^2=4+4.........EQN 2
USING EQN 1 AND 2
t= s rut3........eqn 3

using eqn 1 and 3

s=+-1

hence B

Mental road block. Please help.
OP=OQ b/c radii of circle
OP^2+OQ^2=PQ^2 *PQ=distance b/w P & Q

POQ isoceles right triangle...sides s,s, s sqrt 2
OP=distance b/w O & P OP^2= (-rt3-0)^2+(1-0)^2 OP^2=3+1=4 OP=2, OQ=2, PQ=2 sqrt 2
PQ^2=(s--rt3)^2+(t-1)^2
8=(s+rt3)^2 + (t-1)^2

Don't know where to go from here.



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