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 modulus of z?
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 principal argument of z?
3
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}? $
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
If $(\frac{1-i}{1+i})^{2m}(\frac{1+i}{1-i})^{2n}=1$where $i=\sqrt{-1}$ then what is the smallest positive value of (m - n)?
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