All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2008 MATHEMATICS

Q. 6. The differential of the family of circles with fixed radius 5 units and centre on the line y = 2 is

Sol.The required equation of circle is

Q. 7. Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that

1. 0
2. 1
3. 2
4. - 1

Sol.

Q. 8. Let A be a square matrix all of whose entries are integers. Then which one of the following is true?

Sol. The obvious answer is (1).