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GATE 2023 Engg. Mathematics Quiz 7
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Question 1
The Real part of
where z = x + iy is
![](https://gradeup-question-images.grdp.co/liveData/PROJ48387/1588069319603413.png)
Question 2
Eigen values of a 3 x 3 matrix are 2,4 and 7 respectively. What will be the coefficient of 2nd degree variable in its characteristic equation___________?
Question 3
Given
, what will be the evaluation of the definite integral
![](https://gs-question-images.grdp.co/1452063089481756.png)
![](https://gs-question-images.grdp.co/1452063090183785.png)
Question 4
Find the difference between two eigen values of matrix ________.
Question 5
Find the Integral Factor of x2y' +2xy = log x2
Question 6
A solution of the ordinary differential equation is such that y(0) = 2 and
y(1)=- (1-3e)/e3 .The value of is _______.
Question 7
Evaluate
over the area between y2 = x and y = x _____.
![](https://gradeup-question-images.grdp.co/liveData/PROJ46532/158530480581468.png)
Question 8
Calculate the value of
,where C is |z| = 1 is
![](https://gradeup-question-images.grdp.co/equations/1588567308019.png)
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Jun 19ESE & GATE EC