Engineering Mathematics
Linear Algebra
Marks 1Marks 2
Vector Calculus
Marks 1Marks 2
Probability and Statistics
Marks 1Marks 2
Differential Equations
Marks 1Marks 2
Complex Variable
Marks 1Marks 2
Transform Theory
Marks 1Marks 2
Numerical Methods
Marks 1Marks 2
1
GATE ME 2013
MCQ (Single Correct Answer)
+2
-0.6
Choose the CORRECT set of functions, which are linearly dependent.
A
$$\sin x,\,{\sin ^2}x$$ and $${\cos ^2}x$$
B
$$\cos x,\sin x$$ and $$\tan x$$
C
$$\cos \,2x,{\sin ^2}x$$ and $${\cos ^2}x$$
D
$$\cos \,2x,\sin x$$ and $$\cos x$$
2
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
$$x+2y+z=4, 2x+y+2z=5, x-y+z=1$$
The system of algebraic equations given above has
A
a unique solution of $$x=1,y=1$$ and $$z=1$$
B
only the two solutions of $$x=1, y=1, z=1$$ and $$x=2, y=1, z=0$$
C
infinite number of solutions.
D
no feasible solution.
3
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
$$2$$
4
GATE ME 2006
MCQ (Single Correct Answer)
+2
-0.6
Eigen values of a matrix $$S = \left[ {\matrix{ 3 & 2 \cr 2 & 3 \cr } } \right]$$ are $$5$$ and $$1.$$ What are the eigen values of the matrix $${S^2} = SS?$$
A
$$1$$ and $$25$$
B
$$6,4$$
C
$$5,1$$
D
$$2,10$$
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude