1
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Two electric charges q and -2q are placed at (0,0) and (6,0) on the x-y plane. The equation of the zero equipotential curve in the x-y plane is
A
x=-2
B
y=2
C
$$x^2+y^2=2$$
D
$$\left(x+2\right)^2+y^2=16$$
2
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In cylindrical coordinate system, the potential produced by a uniform ring charge is given $$\phi=f\left(r,\;z\right)$$, where f is a continuous function of r and z. Let $$\overrightarrow E$$ be the resulting electric field. Then the magnitude of $$\nabla\times\overrightarrow E$$
A
increases with r
B
is 0
C
is 3
D
decreases with z
3
GATE EE 2016 Set 1
Numerical
+1
-0
Consider $$3 \times 3$$ matrix with every element being equal to $$1.$$ Its only non-zero eigenvalue is __________.
Your input ____
4
GATE EE 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Let $$A$$ be a $$4 \times 3$$ real matrix which rank$$2.$$ Which one of the following statement is TRUE?
A
Rank of AT is less than $$2$$
B
Rank of ATA is equal to $$2$$
C
Rank of ATA is greater than $$2$$
D
Rank of ATA can be any number between $$1$$ and $$3$$
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