1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
In obtaining the solution of the system of equations x + y + z = 7 x + 2y + 3z = 16 and x + 3y + 4z = 22 by Cramer's rule, the value of y is obtained by dividing D by $D_{2}$ where
$D=\left|\begin{matrix}1&1&1\\ 1&2&3\\ 1&3&4\end{matrix}\right|$ What is the value of the determinant $D_{2}$ ?
$D=\left|\begin{matrix}1&1&1\\ 1&2&3\\ 1&3&4\end{matrix}\right|$ What is the value of the determinant $D_{2}$ ?
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
The value of the determinant $\left|\begin{matrix}a&b&c\\ l&m&n\\ p&q&r\end{matrix}\right|$ is equal to
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
If a, b, c are the sides of a triangle ABC and p is the perimeter of the triangle, then what is equal to? det $\left|\begin{matrix}p+c&a&b\\ c&p+a&b\\ c&a&p+b\end{matrix}\right|$
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
For the following two (02) items:
Let
$A=\left[\begin{matrix}\cos \theta &\sin \theta \\ -\sin \theta &\cos \theta \end{matrix}\right] $
Let
$A=\left[\begin{matrix}\cos \theta &\sin \theta \\ -\sin \theta &\cos \theta \end{matrix}\right] $
What is the value of the determinant of the matrix $A ^ 4$
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