GATE ME 2001


Question 1
The divergence of vector \vec{r}=x\vec{i}+y\vec{j}+z\vec{k} is
A
\vec{i}+\vec{j}+\vec{k}
B
3
C
0
D
1
Engineering Mathematics   Calculus
Question 2
Consider the system of equations given below:
x+y=2
2x+2y=5
This system has
A
one solution
B
no solution
C
infinite solutions
D
four solutions
Engineering Mathematics   Linear Algebra


Question 3
What is the derivative of f(z)=\left | x\right | at x=0?
A
1
B
-1
C
0
D
Does not exist
Engineering Mathematics   Calculus
Question 4
The Gauss divergence theorem relates certain
A
surface integrals to volume integrals
B
surface integrals to line integrals
C
vector quantities to other vector quantities
D
line integrals to volume integrals
Engineering Mathematics   Calculus
Question 5
For a spring-loaded roller-follower driven with a disc cam,
A
the pressure angle should be larger during rise than that during return for ease of transmitting motion
B
the pressure angle should be smaller during rise than that during return for ease of transmitting motion
C
the pressure angle should be large during rise as well as during return for ease of transmitting motion
D
the pressure angle does not affect the ease of transmitting motion
   


There are 5 questions to complete.

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