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 .
- Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
- Statement-1 is true, Statement-2 is false.
- Statement-1 is false, Statement-2 is true.
- Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
Sol :
![](../../image/2010/math_clip_image047.gif)
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.
- There is a regular polygon with
![](../../image/2010/math_clip_image049.gif)
- There is a regular polygon with
![](../../image/2010/math_clip_image051.gif)
- There is a regular polygon with
![](../../image/2010/math_clip_image053.gif)
- There is a regular polygon with
![](../../image/2010/math_clip_image055.gif)
Sol :
If O is centre of polygon and AB is one of the side, then by figure:
![](../../image/2010/math_clip_image057.gif)
Answer : (2)
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