1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What are the values of x that satisfy the equation $$\left| {\matrix{ x & 0 & 2 \cr {2x} & 2 & 1 \cr 1 & 1 & 1 \cr } } \right| + \left| {\matrix{ {3x} & 0 & 2 \cr {{x^2}} & 2 & 1 \cr 0 & 1 & 1 \cr } } \right| = 0$$ ?
A
$$ - 2\, \pm \,\sqrt 3 $$
B
$$ - 1\, \pm \,\sqrt 3 $$
C
$$ - 1\, \pm \,\sqrt 6 $$
D
$$ - 2\, \pm \,\sqrt 6 $$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of the determinant $$\left| {\matrix{ {1!} & {2!} & {3!} \cr {2!} & {3!} & {4!} \cr {3!} & {4!} & {5!} \cr } } \right|$$ ?
A
0
B
12
C
24
D
36
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If $\rm z=\frac{1}{3}\begin{vmatrix}i&2i&1\\\ 2i&3i&2\\\ 3&1&3\end{vmatrix}=x+iy;i=\sqrt{-1}$ then what is modulus of Z equal to?  
1
1
2
√2
3
2
4
√3
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If $\rm \omega=-\frac{1}{2}+i\frac{\sqrt3}{2}$ then what is $\rm \begin{vmatrix}1+\omega &1+\omega^2&\omega+\omega^2\\\ 1&\omega\ & \omega^2\\\ \frac{1}{\omega}&\frac{1}{\omega^2}&1\end{vmatrix}$ equal to? 
1
0
2
ω 
3
ω2
4
1 - ω2
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