All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2009 Maths

Q. 28. Three distinct points A, B and C are given in the 2-dimensional coordinate plane such that the ratio of the distance of any one of them from the point (1, 0)to the distance from the point (-1, 0) is equal to  . Then the circumcentre of the triangle ABC is at the point

1. 
   
   
   
2. (0, 0)
   
   
3. 
   
   
   
4. 
   

Sol:  

Answer: (3)

Q. 29. One ticket is selected at random from 50 tickets numbered 00, 01, 02, ……., 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

Sol:  

Answer: (2)

Q. 30. Let be an implicit function of x defined x^2x – 2x^x cot y – 1 = 0. Then y`(1) equals

1. -log2
   
   
2. -1
   
   
3.  1
   
   
4. log2

Sol:  

Answer: (2)

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