# Which one of the following is an eigenvector of the matrix

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# With a 1unit change in b, what is the change in x in the solution of the system of equations x + y = 2, 1.01x + 0.99y = b

1.  zero

2.  2 units

3.  50 units

4.  100 units

4

50 units

Explanation :
No Explanation available for this question

# By a change of variables x(u, v) = u v, y(u, v) = v/u in a double integral, the integrated f(x,y) changes to f (uv, u/v) ø (u, v). Then, ø(u, v) is

1.  2v/u

2.  2uv

3.  v2

4.  1

4

2v/u

Explanation :
No Explanation available for this question

# The right circular cone of largrst volume that can be enclosed by a sphere of 1m radius has a height of

1.  1/3 m

2.  2/3 m

3.  2√2 / 3 m

4.  4/3 m

4

2√2 / 3 m

Explanation :
No Explanation available for this question

# If x2 dy/dx + 2xy = 2lnx/x, and y(1) = 0, then what is y(e)

1.  e

2.  1

3.  1/e

4.  1/e2

4

1/e2

Explanation :
No Explanation available for this question

# Straight from x0 = 1, one step of Newton-Raphson method in solving the equation x3 + 3x – 7 = 0 gives the next value (x1) as

1.  x1 = 0.5

2.  x1 = 1.406

3.  x1 = 1.5

4.  x1 = 2

4

x1 = 1.5

Explanation :
No Explanation available for this question

# A single die is thrown twice. What is the probability that the sum is neither 8 or 9

1.  1/9

2.  5/36

3.  1/4

4.  3/4

4

3/4

Explanation :
No Explanation available for this question

# Two books of mass 1 kg each are kept on a table, one over the other. The coefficient of friction on every pair of contacting surfaces is 0.3. the lower book is pulled with a horizontal force F. the minimum value of F for which slip occurs between the two books is

1.  zero

2.  1.06 N

3.  5.74 N

4.  8.83 N

4

8.83 N

Explanation :
No Explanation available for this question

# A shell is fired from a cannon. At the instant the shell is just about to leave the barrel, its velocity relative to the barrel is 3 m/s, while the barrel is swinging upwards with a constant angular velocity of 2 rad/s. The magnitude of the absolute velocity of the shell is

1.  3 m/s

2.  4 m/s

3.  5 m/s

4.  7 m/s

4

5 m/s

Explanation :
No Explanation available for this question

1.  1/2  mv2

2.  mv2 / 2t

3.  mv2 / t

4.  2mv2 / t

4