1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If ω is a non-real cube root of 1, then what is the value of $\left|\frac{1-\omega}{\omega+\omega^2}\right| ?$
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If α and β are the distinct roots of equation x2 - x + 1 = 0, then what is the value of $\left|\frac{\alpha^{100}+\beta^{100}}{\alpha^{100}-\beta^{100}}\right|$ ?
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If 2 - i√3 where i = √-1 is a root of the equation x2 + ax + b = 0, then what is the value of (a + b)?
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
If $z=\frac{1+i √{3}}{1-i √{3}}$ where i = √-1 then what is the argument of z ?
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
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