GATE EC || MATHEMATICS || VECTOR CALCULUS || PYQs (2000-2025)

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Question 1

Screenshot-2025-10-03-235248


  • 90

Question 2

The rate of increase, of a scalar field f (x, y, z) = xyz , in the direction v = (2, 1, 2)  at a point (0,2,1) is

  • 2/3

  • 4/3

  • 2

  • 4

Question 3

Screenshot-2025-10-09-151907
.



(GATE 2023 || EC || MCQ||1 MARK)

  • 7/2

  • -2/7

  • 2/7

  • -7/2

Question 4

Screenshot-2025-10-04-001642


  • 3V

  • 5V

  • 10V

  • 15V

Question 5

Screenshot-2025-10-04-001259


  • Screenshot-2025-10-04-001324


  • Screenshot-2025-10-04-001334


  • Screenshot-2025-10-04-001403


  • Screenshot-2025-10-04-001413


Question 6

Screenshot-2025-10-04-001039


  • 0

  • 1/3

  • 1

  • 3

Question 7

Screenshot-2025-10-04-000708


  • 2.99 to 3.01

Question 8

The magnitude of the gradient for the function f(x, y, z) = x2 + 3y2 + z3 at the point (1, 1, 1) is _______.


  • (6.8 to 7.2)

Question 9

Screenshot-2025-10-04-000150


  • (6.2 to 6.3)

Question 10

Screenshot-2025-10-03-235645


  • 78 to 79

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