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 eigen vectors of the matrix $$\left[ {\matrix{ 1 & 2 \cr 0 & 2 \cr } } \right]$$ are written in the form $$\left[ {\matrix{ 1 \cr a \cr } } \right]\,\,\& \,\,\left[ {\matrix{ 1 \cr b \cr } } \right].$$ What is $$a+b$$?
A
$$0$$
B
$${1 \over 2}$$
C
$$1$$
D
$$2$$
3
GATE ME 2008
MCQ (Single Correct Answer)
+1
-0.3
For what values of 'a' if any will the following system of equations in $$x, y$$ and $$z$$ have a solution? $$$2x+3y=4,$$$ $$$x+y+z=4,$$$ $$$x+2y-z=a$$$
A
any real number
B
$$0$$
C
$$1$$
D
there is no such value
4
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the shaded triangular region $$P$$ shown in the figure. What is $$\int\!\!\!\int\limits_p {xy\,dx\,dy\,?} $$ GATE ME 2008 Engineering Mathematics - Calculus Question 38 English
A
$${1 \over 6}$$
B
$${2 \over 9}$$
C
$${7 \over {16}}$$
D
$$1$$
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