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BARC 2021 ME: Engineering Mathematics : Nuclear Quiz 1
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Question 1
The matrix A is 3 × 3 matrix, if the matrix is a singular matrix then which of the following statement is true;
Question 2
The value of the function ![](https://gradeup-question-images.grdp.co/liveData/PROJ11634/1515069484609749.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ11634/1515069484609749.png)
Question 3
The parabolas
and
divide the square region bounded by the lines
and the coordinate axes. If
and
are respectively the areas of these parts numbered from top to bottom; then
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ5500/1497522747751354.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5500/1497522748402771.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5500/1497522749049859.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5500/1497522749692268.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5500/1497522750358690.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ5500/1497522751076125.png)
Question 4
The probability that A speaks truth is 4/5, while this probability for B is 3/4. The probability that they contradict each other when asked to speak on a fact is ______.
Question 5
The values of a, b, c such that the vector field
is a irrotational
![](https://gradeup-question-images.grdp.co/liveData/PROJ37123/1567602876371427.png)
Question 6
For
the residue of the pole at z = 0 is _____.
![](https://gradeup-question-images.grdp.co/liveData/PROJ5662/149813188402393.png)
Question 7
Consider a special curve in three-dimensional space given in parametric form by
.
The length of the curve is ________
![](https://gs-question-images.grdp.co/1451890501059380.png)
The length of the curve is ________
Question 8
The solution of the differential equation
![](https://gradeup-question-images.grdp.co/liveData/PROJ7731/1504865465334657.png)
Question 9
Consider the following partial differential equation:
For this equation to be classified as parabolic, the value of
must be_______
![](https://gradeup-question-images.grdp.co/liveData/PROJ5159/1496654999832347.png)
For this equation to be classified as parabolic, the value of
![](https://gradeup-question-images.grdp.co/liveData/PROJ5159/149665500065998.png)
Question 10
For which value of x will be matrix given below become singular?
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image137.png](https://gs-question-images.grdp.co/1458286590667234.png)
![Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image137.png](https://gs-question-images.grdp.co/1458286590667234.png)
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