Question

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,

Soln:(a)

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

Ma [2, -3] = mn [-2, md (-2)]

2 = mn ( -2 , 2)

2 = -2

Relation does not hold for a = -2 and b = -3

Or a < 0, b < 0