1
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
The relationship between two variables $x$ and $y$ is given by $x+p y+q=0$ and is shown in the figure. Find the values of $p$ and $q$.
Note: The figure shown is representative.

2
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
Let $v_1$ and $v_2$ be the two eigen vectors corresponding to distinct eigen values of a $3 \times 3$ real symmetric matrix. Which one of the following statements is true?
3
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
Let $A=\left[\begin{array}{ccc}1 & 1 & 1 \\ -1 & -1 & -1 \\ 0 & 1 & -1\end{array}\right]$ and $b=\left[\begin{array}{c}1 / 3 \\ -1 / 3 \\ 0\end{array}\right]$, then the system of linear equations $A x=b$ has
4
GATE EE 2025
MCQ (Single Correct Answer)
+1
-0.33
Let $P=\left[\begin{array}{ccc}2 & 1 & 0 \\ -1 & 0 & 0 \\ 0 & 0 & 1\end{array}\right]$ and let $I$ be the identity matrix. Then $P^2$ is equal to
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