1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Which one of the following is the general solution of the first order differential equation $${{dy} \over {dx}} = {\left( {x + y - 1} \right)^2}$$ , where $$x,$$ $$y$$ are real ?
A
$$y = 1 + x + {\tan ^{ - 1}}\left( {x + c} \right),$$ where $$c$$ is a constant
B
$$y = 1 + x + \tan \left( {x + c} \right),$$ where $$c$$ is a constant
C
$$y = 1 - x + {\tan ^{ - 1}}\left( {x + c} \right),$$ where $$c$$ is a constant
D
$$y = 1 - x + \tan \left( {x + c} \right),$$ where $$c$$ is a constant
2
GATE ECE 2017 Set 1
Numerical
+2
-0
Starting with $$x=1,$$ the solution of the equation $$\,{x^3} + x = 1,\,\,$$ after two iterations of Newton-Raphson's method (up to two decimal places) is ______________
Your input ____
3
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The clock frequency of an 8085 microprocessor is 5 MHz. If the time required to execute an instruction is 1.4 $$\mu $$s, then the number of T-states needed for executing the instruction is
A
1
B
6
C
7
D
8
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The following five instructions were executed on an 8085 microprocessor.
MVI A, 33H
MVI B, 78H
ADD B
CMA
ANI 32H

The Accumulator value immediately after the execution of the fifth instruction is

A
00H
B
10H
C
11H
D
32H
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