1
GATE PI 2007
MCQ (Single Correct Answer)
+2
-0.6
Match the following GATE PI 2007 Casting - Casting Process Question 4 English
A
$$P - 4,\,\,Q - 1,\,\,R - 3,\,\,S - 2$$
B
$$P - 2,\,\,Q - 4,\,\,R - 3,\,\,S - 1$$
C
$$P - 3,\,\,Q - 4,\,\,R - 1,\,\,S - 2$$
D
$$P - 3,\,\,Q - 2,\,\,R - 1,\,\,S - 4$$
2
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
The determinant $$\left| {\matrix{ {1 + b} & b & 1 \cr b & {1 + b} & 1 \cr 1 & {2b} & 1 \cr } } \right|$$ equals to
A
$$0$$
B
$$2b(b-1)$$
C
$$2(1-b)(1+2b)$$
D
$$3b(1+b)$$
3
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
If $$A$$ is square symmetric real valued matrix of dimension $$2n$$, then the eigen values of $$A$$ are
A
$$2n$$ distinct real values
B
$$2n$$ real values not neccessarily distinct
C
$$n$$ distinct pairs of complex conjugate numbers
D
$$n$$ pairs of complex conjugate numbers, not necessarily distinct
4
GATE PI 2007
MCQ (Single Correct Answer)
+1
-0.3
For the function $$\,\,f\left( {x,y} \right) = {x^2} - {y^2}\,\,$$ defined on $${R^2},$$ the point $$(0,0)$$ is
A
a local minimum
B
Neither a local minimum (nor) a local maximum.
C
a local maximum
D
Both a local minimum and a local maximum
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