a
☼ Complement of a Set : Let A be a subset of the universal set U, then the complement of A, denoted by Aٰ or A is defined by :
Aٰ = A = { x : x U, x A }.
Clearly, x A x A.
e.g.
■ Rule : Shift the decimal point to the right by as many places of decimal as is the power of 10.
e.g. Evaluate : (i) 5.4203 100 (ii) .0189 1000 (iii) .003 100…
■ Rule : In the denominator, put 1 under the decimal point and annex with it as many zeros as is the number of digits after the decimal point. Now, remove the decimal point and reduce the fraction to lowest t…
Relatively Prime ( Co-Prime ) : Two positive integers are said to be relatively prime to each other if their highest common factor ( H.C.F. ) is 1.
(a, b) = H.C.F. of a and b & [a, b] = L.C.M. of a …