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This set of MCQs deals with linking a pair of elements from two sets and then introducing relations between the two elements in the pair. Practically every day of our lives, we pair the members of two sets of numbers. For example, each hour of the day is paired with the local temperature reading by T.V. Station's weatherman, a teacher often pairs each set of scores with the number of students receiving that score to see more clearly how well the class has understood the lesson.
Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the range.
Is relation from set A to set B is always equal to relation from set B to set A.
Let A={1,2,3,4,5} and R be a relation from A to A, R = {(x, y): y = x + 1}. Find the codomain.
If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x=y2}. Find domain of the relation.
If set A has 2 elements and set B has 4 elements then how many relations are possible?
If f(x) = log3 x and A = (3, 27) then f(A) =
A function f(x) is said to be an odd function if
If f(x) = ex and g(x) = loge x then the value of fog(1) is
Given g(1) = 1 and g(2) = 3. If g(x) is described by the formula g(x) = ax + b, then the value of a and b is,
2, 1
-2, 1
2, -1
-2, -1
The function f(x) = x – [x] has period of,
0
1
2
3
If the function f : R → R be given by f(x) = x² + 2 and g : R → R is given by g(x) = x/(x – 1). The value of gof(x) is,
(x² + 2)/(x² + 1)
x²/(x² + 1)
x²/(x² + 2)
none of these
Let f : R → R be a function given by f(x) = x² + 1 then the value of f-1 (26) is,
5
-5
±5
None of these
Two functions f and g are said to be equal if f,
The domain of f = the domain of g
The co-domain of f = the co-domain of g
f(x) = g(x) for all x
All of above
The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period,
4
6
12
24
The function f(x) = sin (πx/2) + cos (πx/2) is periodic with period,
4
6
12
24
If f(x) is an odd differentiable function on R, then df(x)/dx is a/an,
Even function
Odd function
Either even or odd function
Neither even nor odd function
