Question

Consider the set Q of rational numbers and let * be a operation on Q DEFINED BY a+b=a+b-ab. find


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Answer 1

Answer:

An identity relation is one in which every element of a set is related to itself only. a * b = a + b - ab . As in identity relation 'a' is related to 'a', so the correct option will be the one which gives the value of the relation = 'a'. So, equating a + b - ab = a, we get b(1 - a) = 0. Now putting the values of a, we find b and the option in which a = b, will be the answer. For a = 0, b = 0, so the correct option. For a = 1, b(1 - 1) = 0 ⇒ b can have multiple values. For a = 2, b(1 - 2) = 0 ⇒ b = 0 but a = 2....................