All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2008 MATHEMATICS

Q. 1. The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80 . Then which one of the following gives possible values a and b?

1. a = 1, b = 6
2. a = 3, b = 4
3. a = 0, b = 7
4. a = 5, b = 2

Sol.

Possible values of a and b is given by (2)

Q. 2. The vector lies in the plane of the vectors and bisects the angle between. Then which one of the following gives possible values of

Sol.

Q. 3.

1. 
2. 
3. 0
4. 

Sol. The sign of are opposite. Hence they are parallel but directions are opposite.
Therefore angle between