I Semester B.A./B.Sc Examination, December 2008
(Semester Scheme)
MATHEMATICS (Paper - I)
Time: 3 Hours Max. Marks : 90
I. Answer any fifteen sub-questions. Each sub-question carries 2 marks. (15x2=30)
1. Write the truth set of the proposition, p(x): x2 - 2x < 0;E[P(x)]=z
2. Write the negation of; (∃ ∀y) [p(x) ∨ q (x)].
3. Find the partition set [1, 2, 3, 4] corresponding to the equivalence relation R={(1,1),(2,2)(3,3),(4,4),(1,2),(2,1)(3,4),(4,3)}.
4. If f:R → R and g:R → R are defined by f(x)=x2 and g(x)=x+3 find (gof)(2) and (fog)(2);∀ x ∈ R.
2. Write the negation of; (∃ ∀y) [p(x) ∨ q (x)].
3. Find the partition set [1, 2, 3, 4] corresponding to the equivalence relation R={(1,1),(2,2)(3,3),(4,4),(1,2),(2,1)(3,4),(4,3)}.
4. If f:R → R and g:R → R are defined by f(x)=x2 and g(x)=x+3 find (gof)(2) and (fog)(2);∀ x ∈ R.
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