All India Engineering / Architecture Entrance Examination (AIEEE)
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AIEEE 2007 Mathematics
Q. 6. A body weighing 13 kg is suspended by two strings 5 m and 12 m long, their other ends being fastened to the extremities of a rod 13 m long. If the rod be so held that the body hangs immediately below the middle point. The tensions in the strings are
- 12 kg and 13 kg
- 5 kg and 5 kg
- 5kg and 12 kg
- 5 kg and 13 kg
Sol: 
So tension in the strings are 5 kg and 12 kg. Correct choice: (3)
Q. 7. A pair of fair dice is thrown independently three times. The probability of getting a score of exactly 9 twice is
Sol: Probability of getting sum of nine in a single throw 
Probability of getting sum nine exactly two times out of three draws 
.
orrect choice: (4)
Q. 8. Consider a family of circles which are passing through the point (- 1, 1) and are tangent to x-axis. If (h, k), are the co-ordinates of the centre of the circles, then the set of values of k is given by the interval
Sol: 
Centre of circle is (h, k) and x-axis is tangent. 
Radius of the family of circle 
Also circle passes through
Correct choice: (2)