1
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The solutions of the differential equation $${{{d^2}y} \over {d{x^2}}} + 2{{dy} \over {dx}} + 2y = 0\,\,$$ are
A
$${e^{ - \left( {1 + i} \right)x}},{e^{ - \left( {1 - i} \right)x}}$$
B
$${e^{\left( {1 + i} \right)x}},\,\,{e^{\left( {1 - i} \right)x}}$$
C
$${e^{ - \left( {1 + i} \right)x}},\,\,{e^{\left( {1 + i} \right)x}}$$
D
$${e^{\left( {1 + i} \right)x}},\,\,{e^{ - \left( {1 + i} \right)x}}$$
2
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
The value of the expression $${{ - 5 + 10i} \over {3 + 4i}}$$ is
A
$$1 - 2i$$
B
$$1 + 2i$$
C
$$2 - i$$
D
$$2 + i$$
3
GATE PI 2008
MCQ (Single Correct Answer)
+2
-0.6
The inverse of matrix $$\left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right]$$ is
A
$$\left[ {\matrix{ 0 & 1 & 0 \cr 1 & 0 & 0 \cr 0 & 0 & 1 \cr } } \right]$$
B
$$\left[ {\matrix{ 0 & { - 1} & 0 \cr { - 1} & 0 & 0 \cr 0 & 0 & { - 1} \cr } } \right]$$
C
$$\left[ {\matrix{ 0 & 1 & 0 \cr 0 & 0 & 1 \cr 1 & 0 & 0 \cr } } \right]$$
D
$$\left[ {\matrix{ 0 & { - 1} & 0 \cr 0 & 0 & { - 1} \cr { - 1} & 0 & 0 \cr } } \right]$$
4
GATE PI 2008
MCQ (Single Correct Answer)
+1
-0.3
Laplace transform of $$sin$$ $$ht$$ is
A
$${1 \over {{s^2} - 1}}$$
B
$${1 \over {1 - {s^2}}}$$
C
$${s \over {{s^2} - 1}}$$
D
$${s \over {1 - {s^2}}}$$