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General Questions Set 11:

Quiz Mode

Convert 30° into radians.

π/6

π/4

π/2

2π/3

Solution:

Which of the following physical quantities is a scalar?

Displacement

Plane Angle

Energy

Solid Angle

Solution:

If a given matrix is a nilpotent matrix, then which of the following statements is true?

A^2 = A

A^n = 0

A^2 = I

A^n = A

Solution:

For a given matrix A, the matrix (A + A^T)/2 is

Always skew-symmetric

Always symmetric

The identity matrix

The inverse of A

Solution:

A force acts in the positive x-direction and has a magnitude of 12 N. Represent it using vector notation.

12N j^

12N i^

-12N j^

-12N i^

Solution:

The solution of the first-order differential equation x'(t) = -2x(t), x(0) = a is

x(t) = a * e^(-2)

x(t) = a * e^(-2t)

x(t) = a * e^(-1/2)

x(t) = a * e^(-t)

Solution:

A force acting on a stone has the same horizontal and vertical components, each with a value of (2500/2)^(1/2) newtons. What is the value of the oblique force?

2500/2 N

2500 N

2500/4 N

1500 N

Solution:

Find the value of c (the point where the slope of the tangent to the curve is zero) if the function f(x) = sin(x) is continuous over the interval [0, π] and differentiable over the interval (0, π), and c ∈ (0, π).

π/4

π/2

None

Solution:

The police found a torn letter as evidence for a crime, which might belong to one of the two suspects named Mamta and Mahima. Only two consecutive letters, 'MA', are visible. What is the probability that the letter belongs to Mahima?

0.5

0.62

0.39

0.8

Solution:

Which of the following statements about matrices is not true?

A square matrix has the same number of rows as columns.

The determinant is a special number calculated for square matrices.

The inverse of a matrix is obtained by dividing the adjoint of the inversed matrix by its determinant.

An identity matrix has principal diagonal elements equal to 1 and all other elements equal to 0.

All of the above statements are true.

General Questions Set 11:

Convert 30° into radians.

Solution:

Which of the following physical quantities is a scalar?

Solution:

If a given matrix is a nilpotent matrix, then which of the following statements is true?

Solution:

For a given matrix A, the matrix (A + A^T)/2 is

Solution:

A force acts in the positive x-direction and has a magnitude of 12 N. Represent it using vector notation.

Solution:

The solution of the first-order differential equation x'(t) = -2x(t), x(0) = a is

Solution:

A force acting on a stone has the same horizontal and vertical components, each with a value of (2500/2)^(1/2) newtons. What is the value of the oblique force?

Solution:

Find the value of c (the point where the slope of the tangent to the curve is zero) if the function f(x) = sin(x) is continuous over the interval [0, π] and differentiable over the interval (0, π), and c ∈ (0, π).

Solution:

The police found a torn letter as evidence for a crime, which might belong to one of the two suspects named Mamta and Mahima. Only two consecutive letters, 'MA', are visible. What is the probability that the letter belongs to Mahima?

Solution:

Which of the following statements about matrices is not true?

Solution:

Related Question Sets:

Related Topics:

General Questions Set 11:

Convert 30° into radians.

Solution:

Which of the following physical quantities is a scalar?

Solution:

If a given matrix is a nilpotent matrix, then which of the following statements is true?

Solution:

For a given matrix A, the matrix (A + AT)/2 is

Solution:

A force acts in the positive x-direction and has a magnitude of 12 N. Represent it using vector notation.

Solution:

The solution of the first-order differential equation x'(t) = -2x(t), x(0) = a is

Solution:

A force acting on a stone has the same horizontal and vertical components, each with a value of (2500/2)^(1/2) newtons. What is the value of the oblique force?

Solution:

Find the value of c (the point where the slope of the tangent to the curve is zero) if the function f(x) = sin(x) is continuous over the interval [0, π] and differentiable over the interval (0, π), and c ∈ (0, π).

Solution:

The police found a torn letter as evidence for a crime, which might belong to one of the two suspects named Mamta and Mahima. Only two consecutive letters, 'MA', are visible. What is the probability that the letter belongs to Mahima?

Solution:

Which of the following statements about matrices is not true?

Solution:

Related Question Sets:

Related Topics:

For a given matrix A, the matrix (A + A^T)/2 is