Sets, Relations, functions Flashcards
1
Q
No of elements in cartesian product
A
m * n
2
Q
No of relations
A
2^mn
3
Q
For f(g(x)) to be onto and one one
A
f(x) must be onto
g(x) must be one one
4
Q
No of reflexive relations
A
2^(n^2 -n)
5
Q
No of symmetric relations
A
2^(n(n+1)/2)
6
Q
How to find max of (ax^2 + bx +c)/px^2 + qx + r)
A
Let it be equal to m
Then put D>= 0
7
Q
no of one one functions from set containing m to set containing n elements
A
nPm
8
Q
no of onto functions from set containing m elements to set containing n elements
A
sum r=1 to n nCr r^m (-1)^n-r
9
Q
Period of sinx cosx
A
2pi
10
Q
time period of secx cosecx
A
2pi
11
Q
time period of tanx cotx
A
pi
12
Q
time period of square of any trig fn
A
pi
13
Q
time period of mod of any trig fn
A
pi
14
Q
Period of fractional part x
A
1
15
Q
Solution for f(x) = f^-1(x)
A
f(x) = x
