1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the information carefully and answer the given questions.
A complex number is given by $$z = {{1 + 2i} \over {1 - {{(1 - i)}^2}}}$$.
A complex number is given by $$z = {{1 + 2i} \over {1 - {{(1 - i)}^2}}}$$.
What is the principal argument of z?
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
If ω ≠ 1 is a cube root of unity, then what is (1 + ω - ω2)100 + (1 - ω + ω2)100 equal to?
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
What is the value of the sum $\rm \sum\limits_{n=1}^{20}(i^{n-1}+i^n+i^{n+1})$ where i = √-1 ?
4
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Direction : Consider the following for the items that follow :
Let Z 1 and Z 2 be any two complex numbers such that $\rm Z_1^2+Z_2^2+Z_1Z_2=0$
what is the value of $\rm \left|\frac{Z_1}{Z_2}\right|$,
Questions Asked from Complex Numbers (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies