1
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The matrix $$\left[ {\matrix{ 1 & 2 & 4 \cr 3 & 0 & 6 \cr 1 & 1 & P \cr } } \right]$$ has one eigen value to $$3.$$ The sum of the other two eigen values is
A
$$p$$
B
$$p-1$$
C
$$p-2$$
D
$$p-3$$
2
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
The length of the curve $$\,y = {2 \over 3}{x^{3/2}}$$ between $$x=0$$ & $$x=1$$ is
A
$$0.27$$
B
$$0.67$$
C
$$1$$
D
$$1.22$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
The integral $$\oint {f(z)dz} $$ evaluated around the unit circle on the complex plane for $$f(z) = {{\cos z} \over z}$$ is
A
$$2\pi i$$
B
$$4\pi i$$
C
$$-2\pi i$$
D
0
4
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
Given that $$\mathop x\limits^{ \bullet \bullet } + 3x = 0$$ and $$x\left( 0 \right) = 1,\,\,\mathop x\limits^ \bullet \left( 0 \right) = 1,$$ What is $$x(1)$$ ________.
A
$$-0.99$$
B
$$-0.16$$
C
$$0.41$$
D
$$0.99$$
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