1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If z z̅ = |z + z̅ |, where z = x + iy, i = $\sqrt{-1}$, then the locus of z is a pair of:
A
straight lines
B
rectangular hyperbolas
C
parabolas
D
circles
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of $\sqrt{12+5 i}+\sqrt{12-5 i}$ where $i=\sqrt{-1}$ ?
A
24
B
25
C
5√2
D
5(√2 - 1)
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Which one of the following is a square root of $-\sqrt{-1} $?
A
1 + i
B
$\frac{1-i}{\sqrt{2}}$
C
$\frac{1+i}{\sqrt{2}}$
D
$\frac{1}{\sqrt{2}} i$
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider equation-I : z3 + 2z2 + 2z + 1 = 0 and equation-II : z1985 + z100 + 1 = 0.

What are the roots of equation-I ?
A
1, ω, ω2
B
-1, ω, ω2
C
1, -ω, ω2
D
-1, -ω, -ω2
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12