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
If $$f(x)$$ is even function and a is a positive real number , then $$\int\limits_{ - a}^a {f\left( x \right)dx\,\,} $$ equals ________.
A
$$0$$
B
$$a$$
C
$$2a$$
D
$$2\int\limits_0^a {f\left( x \right)dx\,\,} $$
3
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
4
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
EXAM MAP