1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

$\rm A=\begin{bmatrix} 1 & a \\ 0 & 1 \end{bmatrix}$ where a ∈ ℕ, then is A100 - A50 - 2A25 equal to?

where I is the identity matrix.

A
-2I
B
-I
C
2I
D
I
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\rm \begin{vmatrix} a & -b & a - b - c\\ -a & b & -a + b - c\\ -a & -b & -a - b + c \end{vmatrix} - kabc = 0$ (a ≠ 0, b ≠ 0, c ≠ 0)then what is the value of k?
A
-4
B
-2
C
2
D
4
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\rm \sum\limits_{n=1}^{8n+7} i^n$ equal to, where i = √-1?
A
-1
B
1
C
i
D
-i
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If z = x + iy, where i = √-1, then what does the equations zz̅ + ∣z2 + 4(z + z̅) - 48 = 0 represent?
A
Straight line
B
Parabola
C
Circle
D
Pair of straight lines