CBSE Guess > Papers > Important Questions > Class XII > 2008 > Maths > Maths By Mrs. Geethanjali Bhatt CBSE CLASS XII Q. 1. Let f:R > Range of f given by f(x)= (x+1)^{2}  1 and The set S = {x: f(x) = f ^{1}(x)} is
Q. 2. The minimum number of elements that must be added to the relation R = { (1,2), (2,3) } on the set of natural numbers so that it is an equivalence is
Q. 3. Let ‘R’ be a reflexive relation on a finite set ‘A’ having ‘n’ elements and let there be ‘m’ ordered pairs in ‘R’. Then
Q. 4. Let ‘X’ be a family of sets and ‘R’ be a relation defined by ‘A is disjoint from B’ .Then R is
Q. 5. The number of surjections from A = {1, 2, 3, ….. n} on to B = {a, b} is
Q. 6. If a function defined by f(x) = x^{2}  4x + 5 is a bijection, then B =
Q. 7. Let be two functions given by f(x) = 2x  3, g (x) = x^{3} + 5. fog^{1}(x) is equal to Q . 8. If A = { a, b} then the number of binary operations that can be defined on A is
Q. 9. Let f(x) = [x] and g(x) = x  [x] then which of the following function is the zero function
Q. 10. Let ‘A’ be a nonempty set and be a binary operator on defined by Identity element of the operator * is
Q. 11.
Q. 12. Let f : R > R be the signum function. g: R > R g(x) = [x]. fog and gof coincides on [0, 1]. True/False?

