1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let z = $\frac{1+\text{i}\sin \theta}{1−\text{i}\sin \theta}$ where i = $\sqrt{−1}$
What is angle θ such that z is purely imaginary ?
where n is an integer
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
What is the principal argument of $\frac{1}{1 + i}$ where $i = \sqrt{-1}?$
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
What is the modulus of $\left(\frac{\sqrt{-3}}{2}-\frac{1}{2}\right)^{200}?$
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If x2 + x + 1 = 0, then what is the value of x199 + x200 + x201?
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
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