Complex Numbers · NDA previous year questions

2012 3 questions

1. Q182012 · 19 Aug 2012

   What is the modulus of $\frac{\sqrt{2}+i}{\sqrt{2}-i}$ where $i=\sqrt{-1}$?

   1. A.3
   2. B.1/2
   3. C.1
   4. D.None of the above
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   Answer: C

2. Q192012 · 19 Aug 2012

   What is the number of diagonals which can be drawn by joining the angular points of a polygon of 100 sides?

   1. A.4850
   2. B.4950
   3. C.5000
   4. D.10000
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   Answer: A

3. Q632012 · 15 Apr 2012

   If $z=-\bar{z}$, then which one of the following is correct?

   1. A.The real part of z is zero.
   2. B.The imaginary part of z is zero.
   3. C.The real part of z is equal to imaginary part of z.
   4. D.The sum of real and imaginary parts of z is z.
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   Answer: A