If the complex number z lies on a circle with centre at the origin and radius = , then the 4 complex number - 1 + 8z lies on a circle with radius
4
1
3
2
If p : It rains today, q : I go to school, r : I shall meet any friends ands : I shall go for a movie, then which of the following is the proportion? If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
None of these
If N is a set of natural numbers, then under binary operation a · b = a + b, (N, ·) is
quasi-group
semi-group
monoid
group
B.
semi-group
The structure (N, ·) satisfies the closure property, associativity and commutativity.
But the identity element O does not belong to N.
Hence, N is a semi-group.
On the interval [0, 1], the function x25(1- x)75 takes its maximum value at the point
0
1/4
1/2
1/3