GATE ME 2014 Set 1 | GATE ME Year Wise Previous Years Questions

PREVIOUS NEXT

GATE ME 2014 Set 1

MCQ (Single Correct Answer)

-0.3

$$\mathop {Lt}\limits_{x \to 0} {{x - \sin x} \over {1 - \cos x}}$$ is

$$0$$

$$1$$

$$3$$

not defined

GATE ME 2014 Set 1

MCQ (Single Correct Answer)

-0.6

The integral $$\,\,\oint\limits_C {\left( {ydx - xdy} \right)\,\,} $$ is evaluated along the circle $${x^2} + {y^2} = {1 \over 4}\,$$ traversed in counter clockwise direction. The integral is equal to

$$0$$

$$ - {\pi \over 4}$$

$$ - {\pi \over 2}$$

$$ {\pi \over 4}$$

GATE ME 2014 Set 1

MCQ (Single Correct Answer)

-0.6

In the following table, $$x$$ is a discrete random variable and $$p(x)$$ is the probability density. The standard deviation of $$x$$ is GATE ME 2014 Set 1 Engineering Mathematics - Probability and Statistics Question 23 English

GATE ME 2014 Set 1 Engineering Mathematics - Probability and Statistics Question 23 English

$$0.18$$

$$0.36$$

$$0.54$$

$$0.6$$

GATE ME 2014 Set 1

MCQ (Single Correct Answer)

-0.6

The matrix form of the linear system $${{dx} \over {dt}} = 3x - 5y$$ and $$\,{{dy} \over {dt}} = 4x + 8y\,\,$$ is

$${d \over {dt}}\left\{ {\matrix{ x \cr y \cr } } \right\} = \left[ {\matrix{ 3 & { - 5} \cr 4 & 8 \cr } } \right]\left\{ {\matrix{ x \cr y \cr } } \right\}$$

$${d \over {dt}}\left\{ {\matrix{ x \cr y \cr } } \right\} = \left[ {\matrix{ 3 & 8 \cr 4 & { - 5} \cr } } \right]\left\{ {\matrix{ x \cr y \cr } } \right\}$$

$${d \over {dt}}\left\{ {\matrix{ x \cr y \cr } } \right\} = \left[ {\matrix{ 4 & { - 5} \cr 3 & 8 \cr } } \right]\left\{ {\matrix{ x \cr y \cr } } \right\}$$

$${d \over {dt}}\left\{ {\matrix{ x \cr y \cr } } \right\} = \left[ {\matrix{ 4 & 8 \cr 3 & { - 5} \cr } } \right]\left\{ {\matrix{ x \cr y \cr } } \right\}$$

PREVIOUS NEXT

GATE ME Papers

2024