Match the following : Let f be a function defined on {(m,n) : m and n are positive integers }Satisfying (i) `f(m,m+1) = 1/3 ` for all m (ii) `f(m,n) = f (m,k) +f (k,n)-2f (k,n)` for all such that `m lt k lt n ` `{:(,P,Q,R,S),((A),1,2,3,4),((B),4,3,1,2),((C ),3,2,4,1),((D),2,1,4,3):}`
Text Solution
Verified by Experts
The correct Answer is:
(D )
Topper's Solved these Questions
PROGRESSION & SERIES
FIITJEE|Exercise NUMERICAL BASED|3 Videos
PROGRESSION & SERIES
FIITJEE|Exercise COMPREHENSIONS -III|3 Videos
PROBABILITY
FIITJEE|Exercise Exercise 7|2 Videos
QUADRATIC EQUATION & EXPRESSION
FIITJEE|Exercise NUMERICAL BASED|3 Videos
Similar Questions
Explore conceptually related problems
If m and n are positive integers and f(x)=int_(1)^(x)(t-a)^(2n)(t-b)^(2m+1)dt,a!=b then
A Function f is defined for all positive integers and satisfies f(1)=2005 and f(1)+f(2)+.........+f(n)=n^(2)f(n) for all n>1. Find the value of f(2004)
If (5+2sqrt(6))^(n)=m+f, where n and m are positive integers and 0<=f<=1, then (1)/(1-f)-f is equal to
If (x-a)^(2m)(x-b)^(2n+1), where m and n are positive integers and a>b, is the derivative of a function f then-
Let f : N rarr N be a function such that f(m + n) = f(m) + f(n) for every m, n in N . If f(6) = 18 , then f(2).f(3) is equal to :
Let f be real valued function from N to N satisfying. The relation f(m+n)=f(m)+f(n) for all m,n in N . The range of f contains all the even numbers, the value of f(1) is
For non-negative integers m and n a function is defined as follows f(m,n)={n+1 if m=0;f(m-1,1) if m!=0,n=0} 'Then the value of f(1,1) is
