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GATE 2023 Engg. Mathematics Quiz 3
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Question 1
If 
is, then A is
is, then A is Question 2
The value of 
, where ‘C’ is th e circle ⏐z⏐= 3, is
, where ‘C’ is th e circle ⏐z⏐= 3, is Question 3
If 
,where 0, then is 
is
,where 0, then is is Question 4
The general solution of the differential equation:
ex tan ydx + (1 – ex)sec2ydy = 0 is
Question 5
If 
& 
, then find the determinant of 
?
& , then find the determinant of ?Question 6
If the semi-circular contour D of radius 2 is as shown in the figure, then the value of the integral 
ds is:
ds is: Question 7
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 8
Consider a curve described by f(x) = 2x3 – 3x2 – 36x + 10. Minimum of slope for the given curve occurs at what value of x.
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