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

1. 12 kg and 13 kg
2. 5 kg and 5 kg
3. 5kg and 12 kg
4. 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)