1
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The system of linear equations $$\left. {\matrix{ {4x + 2y = 7} \cr {2x + y = 6} \cr } } \right\}$$ has
A
a unique solution
B
no solution
C
an infinite no. of solutions
D
exactly two distinct solution.
2
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The residue of the function
$$f(z) = {1 \over {{{\left( {z + 2} \right)}^2}{{\left( {z - 2} \right)}^2}}}$$ at z = 2 is
A
$$ - {1 \over {32}}$$
B
$$ - {1 \over {16}}$$
C
$$ {1 \over {16}}$$
D
$$ {1 \over {32}}$$
3
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The equation sin(z) = 10 has
A
no real (or) complex solution
B
exactly two distinct complex solutions
C
a unique solution
D
an infinite no of complex solutions
4
GATE ECE 2008
MCQ (Single Correct Answer)
+1
-0.3
The recursion relation to solve $$x = {e^{ - x}}$$ using Newton $$-$$ Raphson method is
A
$${x_{n + 1}} = {e^{ - {x_n}}}$$
B
$${x_{n + 1}} = {x_n} - {e^{ - {x_n}}}$$
C
$${x_{n + 1}} = {{\left( {1 + {x_n}} \right){e^{ - {x_n}}}} \over {\left( {1 + {e^{ - {x_n}}}} \right)}}$$
D
$${x_{n + 1}} = {{x_n^2 - {e^{ - {x_n}}}\left( {1 + {x_n}} \right) - 1} \over {{x_n} - {e^{ - {x_n}}}}}$$
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