1
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\oint\limits_C {{1 \over {\left( {1 + {z^2}} \right)}}} dz$$ where C is the contour $$\,\left| {z - {i \over 2}} \right| = 1$$ is
A
$$2\pi i$$
B
$$\pi $$
C
$${\tan ^{ - 1}}(z)$$
D
$$\pi i{\tan ^{ - 1}}(z)$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
The equation $${x^3} - {x^2} + 4x - 4 = 0\,\,$$ is to be solved using the Newton - Raphson method. If $$x=2$$ taken as the initial approximation of the solution then the next approximation using this method, will be
A
$$2/3$$
B
$$4/3$$
C
$$1$$
D
$$3/2$$
3
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
If the semi-circular contour D of radius 2 is as shown in the figure, then the value of the integral $$\oint\limits_D {{1 \over {{s^2} - 1}}} ds$$ is GATE ECE 2007 Engineering Mathematics - Complex Variable Question 23 English
A
$$i\pi $$
B
$$ - i\pi $$
C
$$ - \pi $$
D
$$ \pi $$
4
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
An 8085 assembly language program is given below.
Line 1: MVI A, B5H
2: MVI B, 0EH
3: XRI 69H
4: ADD B
5: ANI 9BH
6: CPI 9FH
7: STA 3010H
8: HLT

The contents of the accumulator just after execution of the ADD instruction in line 4 will be

A
C3H
B
EAH
C
DCH
D
69H
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