Question

Read the information given below and answer the questions that follows:
If md (x) = | x |, mn (x, y) = minimum of x and y and Ma (a,b,c,…..) = maximum of a,b,c,…..

Give that a$>$b then the relation Ma [md (a) . mn (a, b)] = mn [a, md (Ma (a, b))] does not hold if (CAT 1994)

• A. a < 0, b < 0,
• B. a > 0, b > 0
• C. a > 0, b < 0, | a | < | b |
• D. a > 0, b < 0, | a | > | b |

Answer 1

The correct option is A a < 0, b < 0,

Ma [md (a), mn (a, b)] = mn [a, md (Ma (a, b))]

Ma [|a|, b] = mn [a, |a|]

For a<0, the relation doesn't hold.

So only option A doesn't hold. [a$<$ 0, b $<$ 0]