1
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
All the values of the multi valued complex function $${1^i},$$ where $$i = \sqrt { - 1} $$ are
A
purely imaginary
B
real and non negative
C
on the unit circle
D
equal in real and imaginary parts.
2
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Which one of the following statements is true for all real symmetric matrices?
A
All the eigen values are real
B
All the eigen values are positive
C
All the eigen values are distinct
D
Sum of all the eigen values is zero
3
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Minimum of the real valued function $$f\left( x \right) = {\left( {x - 1} \right)^{2/3}}$$ occurs at $$x$$ equal to
A
$$ - \infty $$
B
$$0$$
C
$$1$$
D
$$\infty $$
4
GATE EE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
To evaluate the double integral $$\int\limits_0^8 {\left( {\int\limits_{y/2}^{\left( {y/2} \right) + 1} {\left( {{{2x - y} \over 2}} \right)dx} } \right)dy,\,\,} $$ we make the substitution $$u = \left( {{{2x - y} \over 2}} \right)$$ and $$v = {y \over 2}.$$ The integral will reduce to
A
$$\int\limits_0^4 {\left( {\int\limits_0^2 {2udu} } \right)dv} $$
B
$$\int\limits_0^4 {\left( {\int\limits_0^1 {2udu} } \right)dv} $$
C
$$\int\limits_0^4 {\left( {\int\limits_0^1 {udu} } \right)dv} $$
D
$$\int\limits_0^4 {\left( {\int\limits_0^{21} {2udu} } \right)dv} $$
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