1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If z1 and z2 are complex numbers with $$\left| {{z_1}} \right| = \left| {{z_2}} \right|$$, then which of the following is/are correct?
1. z1 = z2
2. Real part of z1 = Real part of z2
3. Imaginary part of z1 = Imaginary part of z2
Select the correct answer using the code given below.
1. z1 = z2
2. Real part of z1 = Real part of z2
3. Imaginary part of z1 = Imaginary part of z2
Select the correct answer using the code given below.
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the point z1 = 1 + i, where $$i = \sqrt { - 1} $$ is the reflection of a point z2 = x + iy in the line $$i\overline z - iz = 5$$, then the point z2 is
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
$$z\overline z + (3 - i)z + (3 + i)\overline z + 1 = 0$$ represents a circle with
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\sqrt {{{1 + {\omega ^2}} \over {1 + \omega }}} $$ equal to, where $$\omega$$ is the cube root of unity?
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