A piecewise linear function f(x) is plotted using thick solid lines in the figure below (the plot is drawn to scale).If we use the Newton-Raphson method to find the roots of f(x) = 0 using x0, x1 and x2 respectively as initial guesses, the roots obtained would be

A piecewise linear function f(x) is plotted using thick solid lines in the figure below (the plot is drawn to scale). <img src="/images/question-image/engineering-maths/numerical-methods/1689253547-a-piecewise-linear-function-fx-is.png" title="Numerical Methods mcq question image" alt="Numerical Methods mcq question image"> If we use the Newton-Raphson method to find the roots of f(x) = 0 using x0, x1 and x2 respectively as initial guesses, the roots obtained would be

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

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

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

A point z has been plotted in the complex plane, as shown in figure below.
Complex Variable mcq question image

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

A

B

C

D

The figure of a solid marked 'X' is given below followed by four alternatives 1, 2, 3 and 4. If the solid is viewed in the direction of the arrow, which one of the four alternatives will represent the true view?
Figure Formation and Analysis mcq question image

Figure Formation and Analysis mcq question image

A

1

B

2

C

3

D

4

The figure shows a shape ABC and its mirror image A₁B₁C₁ across the horizontal axis (X-axis). The coordinate transformation matrix that maps ABC to A₁B₁C₁ is
Linear Algebra mcq question image

A

\\

B

\\

The dependences of the magnetic susceptibility $$\left( \chi \right)$$ of a material with temperature (T) can be represented by $$\chi \propto \frac{1}{{T - \theta }},$$ where θ is the Curie-Weiss temperature. The plot of magnetic susceptibility versus temperature is sketched in the figure, as curves P, Q and R with curve Q having θ = 0. Which one of the following statements is correct?
Solid State Physics mcq question image

A

Curve R represents a paramagnet and Q a ferromagnetic field

B

Curve Q represents a ferromagnet and P an antiferromagnet

C

Curve R represents an antiferromagnet and Q a paramagnet

D

Curve R represents an antiferromagnet and Q a ferromagnet

Which of the following figures 1, 2, 3 and 4, when folded along the lines, will produce the given figure (X)?
Figure Formation and Analysis mcq question image

A

1

B

2

C

3

D

4

Which of the following figures 1, 2, 3 and 4, when folded along the lines, will produce the given figure (X)?
Figure Formation and Analysis mcq question image

A

1

B

2

C

3

D

4

Which of the following figures 1, 2, 3 and 4, when folded along the lines, will produce the given figure (X)?
Figure Formation and Analysis mcq question image

A

1

B

2

C

3

D

4

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

A piecewise linear function f(x) is plotted using thick solid lines in the figure below (the plot is drawn to scale).

If we use the Newton-Raphson method to find the roots of f(x) = 0 using x₀, x₁ and x₂ respectively as initial guesses, the roots obtained would be

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