1
GATE ME 2014 Set 1
Numerical
+2
-0
If $$\,y = f\left( x \right)\,\,$$ is the solution of $${{{d^2}y} \over {d{x^2}}} = 0$$ with the boundary conditions $$y=5$$ at $$x=0,$$ and $$\,{{dy} \over {dx}} = 2$$ at $$x=10,$$ $$f(15)=$$_______.
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2
GATE ME 2014 Set 1
Numerical
+1
-0
Using the trapezoidal rule, and dividing the interval of integration into three equal sub-intervals, the definite integral $$\,\,\int\limits_{ - 1}^{ + 1} {\left| x \right|dx\,\,} $$ is
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3
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The argument of the complex number $${{1 + i} \over {1 - i}},$$ where $$i = \sqrt { - 1} ,$$ is
A
$$ - \pi $$
B
$$ - {\pi \over 2}$$
C
$$ {\pi \over 2}$$
D
$$\pi $$
4
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A circular object of radius r rolls without slipping on a horizontal level floor with the center having velocity $$V$. The velocity at the point of contact between the object and the floor is
A
zero
B
$$V$$ in the direction of motion
C
$$V$$ opposite to the direction of motion
D
$$V$$ vertically upward from the floor
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