All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2009 Maths

Q. 1. If the roots of the equation bx² + cx + a = 0 If the roots of the equation be imaginary, then for all real values of x, the expression is

1. less than –4ab
   
   
2. greater than 4ab
   
   
3. less than 4ab
   
   
4. greater than –4ab

Sol.:

Answer: (4)

 Q. 2. For real x, let , f (x) x³ + 5x + 1 then

1. f is neither one-one nor onto R
   
   
2. f is one-one but not onto R
   
   
3. f is onto R but not one-one
   
   
4. f is one-one and onto R

Sol:

Answer: (4)

 Q. 3. Let a, b, c be such that

 , then the value of n is

1. any integer
   
   
2. zero
   
   
3. any even integer
   
   
4. any odd integer

Sol:  The given equation can be written as

Answer: (4)