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going by what u said ... like choosing the option 2 and knowing the values of parameter u can findout whether its equidistant or not ... well here u dont know the values so if i ask u whether its equidistant or not u cant make out yes or no .

for example in take value r =1/2 ,s =1/2 so u =1/2 and v =1/2 ... means they are the same point and hence equidistant , now u put

r =2 ,s =2 so u =-1 and v = -1 so not equidistant ... so u really cannot
generalise from it what the answer will be ..definite yes or definite no

but when u take both 1 and 2 u get that irrespective of the value of the parameters, they are equi distant . Hence C .