In the group G = {1, 3, 7, 9} under multiplication modulo 10, the inverse of 3 is
1
3
7
9
C.
7
Given, G = {1, 3, 7, 9}
Here,
It is clearthat 1 is the identity element.
Since, G is a group, then inverse of each element exist in G.
In the group (Q+, *) of positive rational numbers w.r.t. the binary operation * defined by a * b = , the solution of the 3 equation 5 * 4 = 4-1 in Q+ is
20
A population p(t) of 1000 bacteria introduced into nutrient medium grows according to the relation p(t) = 1000 + . The maximum 100+t size of this bacterial population is
1100
1250
1050
5250
If ST and SN are the lengths of the subtangent and the subnormal at the point on the curve x = a, y = a, , then
ST = SN
ST = 2SN
ST2 = aSN3
ST3 = aSN