Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 1 - 6 of 12
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Question 1
Appeared in Year: 2015
Question
Numeric Answer▾Consider a spatial curve in three-dimensional space given in parametric form by
The length of the curve is
Question 2
Appeared in Year: 2015
Question
Numeric Answer▾Consider an ant crawling along the curve , where and are in meters. The ant starts at the point (4,0) and moves counterclockwise with a speed of 1.57 meters per second. The time taken by the ant to reach the point (2,2) is (in seconds) ________
Question 3
Appeared in Year: 2015
Question
Numeric Answer▾Simpson’s rule is used to integrate the function between and using the least number of equal sub-intervals. The value of the integral is________
Question 4
Appeared in Year: 2015
Question
MCQ▾Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?
Four Normal Distribution
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | III | |
| b. | II | |
| c. | I | |
| d. | IV | |
Question 5
Question 6
Appeared in Year: 2015
Question
MCQ▾If any two columns of a determinant are interchanged, which one of the following.
Statements regarding the value of the determinant is CORRECT?
Choices
| Choice (4) | Response | |
|---|---|---|
| a. | Absolute value will change but sign will not change. | |
| b. | Absolute value remains unchanged, but sign will change. | |
| c. | Both absolute value and sign will change. | |
| d. | Both absolute value and sign will remain unchanged. | |