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The members carrying zero force (i.e. zero-force members) in the truss shown in the figure, for any load $P > 0$ with no appreciable deformation of the truss (i.e.with no appreciable change in angles between the members), are

       

  1. $BF$ and $DH$ only
  2. $BF, DH,$ and $GC$ only
  3. $BF, DH, GC, CD$ and $DE$ only
  4. $BF, DH, GC, FG$ and $GH$ only

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