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Engineering Mathematics
Probability and Statistics
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Numerical Methods
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Linear Algebra
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Calculus
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Differential Equations
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Transform Theory
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1
GATE PI 2014
MCQ (Single Correct Answer)
+1
-0.3
The system of equations, given below, has $$$x+2y+4z=2$$$ $$$4x+3y+z=5$$$ $$$3x+2y+3z=1$$$
A
a unique solution
B
Two solution
C
no solution
D
more than two solutions
2
GATE PI 2012
MCQ (Single Correct Answer)
+1
-0.3
For the matrix $$A = \left[ {\matrix{ 5 & 3 \cr 1 & 3 \cr } } \right],$$ ONE of the normalized eigen vectors is given as
A
$$\left( {\matrix{ {{1 \over 2}} \cr {{{\sqrt 3 } \over 2}} \cr } } \right)$$
B
$$\left( {\matrix{ {{1 \over {\sqrt 2 }}} \cr {{{ - 1} \over {\sqrt 2 }}} \cr } } \right)$$
C
$$\left( {\matrix{ {{3 \over {\sqrt {10} }}} \cr {{{ - 1} \over {\sqrt {10} }}} \cr } } \right)$$
D
$$\left( {\matrix{ {{1 \over 5}} \cr {{2 \over {\sqrt 5 }}} \cr } } \right)$$
3
GATE PI 2011
MCQ (Single Correct Answer)
+1
-0.3
The eigen values of the following matrix $$\left[ {\matrix{ {10} & { - 4} \cr {18} & { - 12} \cr } } \right]$$ are
A
$$4,9$$
B
$$6,-8$$
C
$$4,8$$
D
$$-6,8$$
4
GATE PI 2010
MCQ (Single Correct Answer)
+1
-0.3
The value of $$q$$ for which the following set of linear equations $$2x+3y=0, 6x+qy=0$$ can have non-trivial solution is
A
$$2$$
B
$$7$$
C
$$9$$
D
$$11$$
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Questions Asked from Marks 1
GATE PI 2016 (2) GATE PI 2014 (1) GATE PI 2012 (1) GATE PI 2011 (1) GATE PI 2010 (2) GATE PI 2009 (1) GATE PI 2007 (2) GATE PI 2005 (1) GATE PI 1994 (5)
GATE PI Subjects
Fluid Mechanics
Metrology
Theory of Machines
Engineering Mathematics
Heat Transfer
Machine Tools and Machining
Industrial Engineering
Engineering Mechanics
Strength of Materials
Thermodynamics
Machine Design
Casting
Joining of Materials
Metal Forming