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GATE 2019: Mathematics National Champion Quiz
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Question 1
The divergence of the vector field is
Question 2
is _____.
Question 3
The orthogonal trajectories of the family of curves are given by
Question 4
The Laplace transform of is
Question 5
The vector field (where and are unit vectors) is :
Question 6
Consider a spatial curve in three-dimensional space given in parametric form by
The length of the curve is ________
The length of the curve is ________
Question 7
If , then the sum of eigen values of A3 is ________.
Question 8
Consider the following equations
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
Question 9
If and then
Question 10
If is purely imaginary, then is equal to ________.
Question 11
With a 1 unit change in b, what is the change in x in the solution of the system of equations x + y = 2, 1.01x + 0.99y = b?
Question 12
The polynomial, p(x)= has
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