GATE EC || NETWORK THEORY || GRAPH THEORY || PYQS (2000-2025)

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Question 1

The differential equation for the current i(t) in the circuit of the figure is

Screenshot-2025-09-03-144037


[GATE EC || PYQ || 2003 MCQ || 2 mark ]

  • Screenshot-2025-09-03-144048
  • Screenshot-2025-09-03-144055
  • Screenshot-2025-09-03-144111
  • Screenshot-2025-09-03-144118

Question 2

Consider the network graph shown in the figure. Which one of the following is NOT a 'tree' of this graph?

Screenshot-2025-09-03-144822


GATE EC || PYQ || 2004 MCQ || 1 mark 




  • Screenshot-2025-09-03-144845


  • Screenshot-2025-09-03-144853


  • Screenshot-2025-09-03-144901


  • Screenshot-2025-09-03-144907


Question 3

In the following graph, the number of trees (P) and the number of cut-sets (Q) are


Screenshot-2025-11-20-145046


[GATE EC|| 2008 MCQ || 1 MARK]

  •  P = 2, Q = 2

  •  P = 2, Q = 6

  • P = 4, Q = 6

  • P = 4, Q = 10

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