All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2010 Mathematics

Q. 5 . Let be a continuous function defined by . .

Statement-1: , for some . .

Statement-2:  for all .

1. Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
2. Statement-1 is true, Statement-2 is false.
3. Statement-1 is false, Statement-2 is true.
4. Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation  for Statement-1.

Sol : 

Answer: (4)

Q. 6.   For a regular polygon, let r and R be the radii of the inscribed and the circumscribed circles. A false statement among the following is.  

1. There is a regular polygon with
2. There is a regular polygon with
3. There is a regular polygon with
4. There is a regular polygon with

  Sol : 

If O is centre of polygon and AB is one of the side, then by figure:

Answer : (2)