1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The common roots of the equations $${z^3} + 2{z^2} + 2z + 1 = 0$$ and $${z^{2017}} + {z^{2018}} + 1 = 0$$ are
2
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 modulus of z?
3
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?
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
If $\alpha =\frac{-1+\sqrt{-3}}{2}$ then what is the value of $(1+\alpha ^{19}-\alpha ^{35})^{100}-(1-3\alpha ^{25}+\alpha ^{38})^{50}? $
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