A point z has been plotted in the complex plane, as shown in figure below.The plot for point $$rac{1}{{ ext{z}}}$$ is

A point z has been plotted in the complex plane, as shown in figure below.<br><img src="/images/question-image/engineering-maths/complex-variable/1689244365-a-point-z-has-been-plotted-in-the-complex-plane.png" title="Complex Variable mcq question image" alt="Complex Variable mcq question image"><br>The plot for point $$\frac{1}{{\text{z}}}$$ is

If the semi-circular contour D of radius 2 is as shown in the figure, then the value of the integral $$\oint\limits_{\text{D}} {\frac{1}{{\left( {{{\text{s}}^2} - 1} \right)}}{\text{ds}}} $$ is
Complex Variable mcq question image

A

jπ

B

-jπ

C

-π

D

π

The selling price of plot is directly proportional to the square of area of plot in m2. If the cost price of square shaped plot is Rs. 50000 and the profit percent of a dealer is 25% on selling square shaped plot then find the cost price of rectangular shaped plot if the dealer gains 50% on selling of rectangular plot where the length and breadth of rectangular plot is 30 m and 20 m while the side length of square plot is 20 m.

A

Rs. 93750

B

Rs. 95750

C

Rs. 94550

D

Rs. 95850

Consider the line integral $$I = \int_{\text{c}} {\left( {{{\text{x}}^2} + {\text{i}}{{\text{y}}^2}} \right){\text{dz,}}} $$ where z = x + iy. The line c is shown in the figure below
Complex Variable mcq question image

The value of $$I$$ is

A

$$\frac{1}{2}{\text{i}}$$

B

$$\frac{2}{3}{\text{i}}$$

C

$$\frac{3}{4}{\text{i}}$$

D

$$\frac{4}{5}{\text{i}}$$

Contour C in the adjoining figure is described by x² + y² = 16. The value $$\oint\limits_{\text{c}} {\frac{{{{\text{z}}^2} + 8}}{{0.5{\text{z}} - 1.5{\text{j}}}}{\text{dz}}} $$ is (Note: $${\text{j}} = \sqrt { - 1} $$ )
Complex Variable mcq question image

A

-2πj

B

2πj

C

4πj

D

-4πj

An elliptical dislocation loop is gliding on plane ABCD of a single crystal of BCC material as shown in the following figure. It is gliding along the burger vector 'b'. Identify the correct statement.
Physics of Metals in Metallurgy mcq question image

Physics of Metals in Metallurgy mcq question image

P. Plane ABCD belongs to the family of (110).
Q. Burger vector 'b' belong to direction.
R. Dislocation has the edge character at point x and the screw character at point z.
S. Dislocation has the screw character at point x

A

P, Q

B

Q, R

C

P, R

D

P, S

A rectangular plot has a concrete path running in the middle of the plot parallel to the breadth of the plot. The rest of the plot is used as a lawn which has an area of 420 sq. m. If the width of the path is 4 m and the length of the plot is greater than its breadth by 36 m, what is the area of the rectangular plot?

A

460 sq. m

B

468 sq. m

C

288 sq. m

D

360 sq. m

E

424 sq. m

The figure shows the plot of y as a function of x
Differential Equations mcq question image

The function shown is the solution of the differential equation (assuming all initial conditions to be zero) is

A

$$\frac{{{{\text{d}}^2}{\text{y}}}}{{{\text{d}}{{\text{x}}^2}}} = 1$$

B

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = {\text{x}}$$

C

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = - {\text{x}}$$

D

$$\frac{{{\text{dy}}}}{{{\text{dx}}}} = \left| {\text{x}} \right|$$

The magnitude and phase of the complex Fourier series coefficient a_k of a periodic signal x(t) are shown in the figure. Choose the correct statement from the four choices given. Notation: C is the set of complex number, R is the set of purely real numbers, and P is the set of purely imaginary numbers.
Signal Processing mcq question image

A

$$x\left( t \right) \in R$$

B

$$x\left( t \right) \in P$$

C

$$x\left( t \right) \in \left( {C - R} \right)$$

D

The information given is not sufficient to draw any conclusion about x(t)

The plot of log A vs time t, where A is activity as shown in the figure, corresponds to decay
Nuclear and Particle Physics mcq question image

A

from only one kind of radioactive nuclei having same half life

B

from only neutron activated nuclei

C

from a mixture of radioactive nuclei having different half lives

D

which is unphysical

The pictorial view of the frustum of a square pyramid is shown in figure 'X'. Its top view, when viewed in the direction of the arrow, will look like which of the given alternatives 1, 2, 3 and 4?
Figure Formation and Analysis mcq question image

Figure Formation and Analysis mcq question image

A

1

B

2

C

3

D

4

A point z has been plotted in the complex plane, as shown in figure below.

The plot for point $$\frac{1}{{\text{z}}}$$ is

Related Questions

A point z has been plotted in the complex plane, as shown in figure below.The plot for point $$\frac{1}{{\text{z}}}$$ is

Related Questions

A point z has been plotted in the complex plane, as shown in figure below.

The plot for point $$\frac{1}{{\text{z}}}$$ is