Given:
The sets are and
.
To find:
Whether A and B are disjoint sets or not.
Solution:
Two sets are called disjoint sets if there are no common elements between them.
We have,
Clearly, there is not common elements between the set A and set B.
Therefore, the sets A and B are disjoint sets.
Area of bottom rectangle:-
Area of rectangle above it:-
Area of rectangle above it
Area of triangle:-
Total:-
Given equation:
i.e., and
and
i.e., and
and
i.e., and
and
Therefore, the given equation has a real root i.e.,
and two complex conjugate roots i.e., and
Hence, option C is correct.
Total possible outcomes = 4
Total no. of favorable outcomes = 2