All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2009 Maths

Q. 25. If A, B and C are three sets such that

1. 
   
   
2. A = B
   
   
3. A = C
   
   
4. B = C

Sol:  

Answer: (4)

Q. 26.  denotes the greatest integer function, is equal to

1. 
   
   
2. 
   
   
3. 1
   
   
4. -1

Sol:   

Answer: (1)

Q. 27. If P and Q are the points of intersection of the circles x² + y² + 3x - 7y + 2p – 5 = 0 and x²+ y² + 2x + 2y – p² = 0 , then there is a circle passing through P, Q and (1, 1) for

1. exactly one value of p
   
   
2. all values of p
   
   
3. all except one value of p
   
   
4. all except two values of p

Sol: 

Answer: (2)