Complex Numbers · NDA previous year questions

2013 7 questions

1. Q372013 · 11 Aug 2013

   The roots of the equation

   
   1. A.are imaginary
   2. B.are distinct and real
   3. C.are equal and real
   4. D.cannot be ascertained
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   Answer: C

2. Q382013 · 11 Aug 2013

   What is ${\tan }^{-1}\left(\frac{1}{2}\right)+{\tan }^{-1}\left(\frac{1}{3}\right)$ equal to?

   1. A.$\frac{\pi }{2}$
   2. B.$\frac{\pi }{3}$
   3. C.$\frac{\pi }{4}$
   4. D.$\frac{\pi }{6}$
   Show answer

   Answer: C

3. Q392013 · 11 Aug 2013

   What is $(1-{\sin }^2\theta )(1+{\tan }^2\theta )$ equal to?

   1. A.${\sin }^2\theta$
   2. B.${\cos }^2\theta$
   3. C.${\tan }^2\theta$
   4. D.1
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   Answer: D

4. Q172013 · 14 Apr 2013

   What is the argument of the complex number $(-1-i)$ where $i=\sqrt{-1}$ ?

   1. A.$\frac{5\pi }{4}$
   2. B.$-\frac{5\pi }{4}$
   3. C.$\frac{3\pi }{4}$
   4. D.None of the above
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   Answer: D

5. Q182013 · 14 Apr 2013

   If $4^x-6\cdot 2^x+8=0$, then the values of x are

   1. A.1, 2
   2. B.1, 1
   3. C.1, 0
   4. D.2, 2
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   Answer: A

6. Q192013 · 14 Apr 2013

   A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour ?

   1. A.2
   2. B.3
   3. C.4
   4. D.5
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   Answer: B

7. Q282013 · 14 Apr 2013

   $(x+1{)}^2-1=0$ has

   1. A.one real root
   2. B.two real roots
   3. C.two imaginary roots
   4. D.four real roots
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   Answer: B