1
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
The product of two complex numbers $$1 + i\,\,\,\,\& \,\,\,\,2 - 5\,i$$ is
A
$$7-3i$$
B
$$3-4i$$
C
$$-3-4i$$
D
$$7+3i$$
2
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
What is $$\mathop {Lim}\limits_{\theta \to 0} {{\sin \theta } \over \theta }\,\,$$ equal to ?
A
$$\theta $$
B
$$sin$$$$\theta $$
C
$$0$$
D
$$1$$
3
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
Consider the following system of equations
$$2{x_1} + {x_2} + {x_3} = 0,\,\,{x_2} - {x_3} = 0$$ and $${x_1} + {x_2} = 0.$$
This system has
A
a unique solution
B
no solution
C
infinite number of solutions
D
five solutions
4
GATE ME 2011
MCQ (Single Correct Answer)
+1
-0.3
Eigen values of a real symmetric matrix are always
A
positive
B
negative
C
real
D
$$162.$$ $$\left[ {\rm A} \right]$$ is a square