InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
If a, b, c `in` R, then which one of the following is true:A. `max(a,b)ltmax(a,b,c)`B. `min(a,b)=(1)/(2){a+b-|a-b|}`C. `min(a,b)ltmin(a,b,c)`D. none of these |
|
Answer» Correct Answer - B If we assume that `clta` and `cltb` then we observe that options (a) and ( c ) do not hold. In order to check option (b), let us consider the following cases: CASE I When `altb` In this case, we have `min(a,b)=b" and "|a-b|=a-b` `:." "(1)/(2){a+b-|a-b|}=(1)/(2){a+b-(a-b)}=b` Hence, `min(a,b)=(1)/(2){a+b-|a-b|}` Thus, in both the cases, we have `min(a,b)=(1)/(2){a+b-|a-b|}` Hence, option (b) is true. |
|