1
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
At least one eigenvalue of a singular matrix is
A
positive
B
zero
C
negative
D
imaginary
2
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
At $$x=0,$$ the function $$f\left( x \right) = \left| x \right|$$ has
A
a minimum
B
a maximum
C
a point of inflection
D
neither a maximum nor minimum
3
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Curl of vector $$\,V\left( {x,y,x} \right) = 2{x^2}i + 3{z^2}j + {y^3}k\,\,$$ at $$x=y=z=1$$ is
A
$$-3i$$
B
$$3i$$
C
$$3i-4j$$
D
$$3i-6k$$
4
GATE ME 2015 Set 2
Numerical
+2
-0
The surface integral $$\,\,\int {\int\limits_s {{1 \over \pi }} } \left( {9xi - 3yj} \right).n\,dS\,\,$$ over the sphere given by $${x^2} + {y^2} + {z^2} = 9\,\,$$ is __________.
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