GATE CE 2023 Set 1 | GATE CE Year Wise Previous Years Questions

GATE CE 2023 Set 1

Numerical

-0

In the differential equation $\frac{dy}{dx}+\alpha\ x\ y =0, \alpha$ is a positive constant. If y = 1.0 at x = 0.0, and y = 0.8 at x = 1.0, the value of α is ________ (rounded off to three decimal places).

Your input ____

GATE CE 2023 Set 1

MCQ (Single Correct Answer)

-0.66

A function f(x), that is smooth and convex-shaped between interval (x_l , s_u) is shown in the figure. This function is observed at odd number of regularly spaced points. If the area under the function is computed numerically, then .

GATE CE 2023 Set 1 Engineering Mathematics - Numerical Methods Question 1 English

the numerical value of the area obtained using the trapezoidal rule will be less than the actual

the numerical value of the area obtained using the trapezoidal rule will be more than the actual

the numerical value of the area obtained using the trapezoidal rule will be exactly equal to the actual

with the given details, the numerical value of area cannot be obtained using trapezoidal rule

GATE CE 2023 Set 1

MCQ (More than One Correct Answer)

-0

For the matrix

$[A]= \begin{bmatrix}1&2&3\\\ 3&2&1\\\ 3&1&2 \end{bmatrix} $

which of the following statements is/are TRUE?

The eigenvalues of [A]T are same as the eigenvalues of [A]

The eigenvalues of [A]-1 are the reciprocals of the eigenvalues of [A]

The eigenvectors of [A]T are same as the eigenvectors of [A]

The eigenvectors of [A]-1 are same as the eigenvectors of [A]

GATE CE 2023 Set 1

MCQ (More than One Correct Answer)

-0

For the function f(x) = ex |sin x|; x ∈ ℝ, which of the following statements is/are TRUE?

The function is continuous at all x

The function is differentiable at all x

The function is periodic

The function is bounded

PREVIOUS NEXT

Paper analysis

Total Questions

Construction Material and Management

Engineering Mathematics

Environmental Engineering

Fluid Mechanics and Hydraulic Machines

Geomatics Engineering Or Surveying

Geotechnical Engineering

Hydrology

Irrigation

Reinforced Cement Concrete

Steel Structures

Strength of Materials Or Solid Mechanics

Structural Analysis

Transportation Engineering

General Aptitude

GATE CE Papers

2024