Limits, Continuity & Derivatives · NDA previous year questions

2013 28 questions

1. Q782013 · 14 Apr 2013

   Consider the following statements : 1. The derivative where the function attains maxima or minima must be zero. 2. If a function is differentiable at a point, then it must be continuous at that point. Which of the above statements is/are correct ?

   1. A.1 only
   2. B.2 only
   3. C.Both 1 and 2
   4. D.Neither 1 nor 2
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   Answer: B

2. Q882013 · 14 Apr 2013

   The derivative of ${\sec }^{2}x$ with respect to ${\tan }^{2}x$ is

   1. A.1
   2. B.2
   3. C.$2\sec x\tan x$
   4. D.$2{\sec }^{2}x\tan x$
   Show answer

   Answer: A

3. Q1182013 · 14 Apr 2013

   If X follows a binomial distribution with parameters n = 100 and p = 1/3, then P(X = r) is maximum when

   1. A.$r=16$
   2. B.$r=32$
   3. C.$r=33$
   4. D.$r=34$
   Show answer

   Answer: C