PART - 1 CH - 1 Sets — Maths STD 11 Science — Question

Is set of odd natural numbers divisible by 2 null set?

Write the component statements of the following compound statements and check whether the compound statement is true or false.
57 is divisible by 2 or 3.

If A = {3, 6, 9, 12, 15, 18, 21}, B = {4, 8, 12,16, 20}, C = {2, 4, 6, 8, 10, 12, 14, 16}, D = {5, 10, 15, 20}, find: A - C

Write down the converse of following statement:
If all three angles of a triangle are equal, then the triangle is equilateral.

Find the component statements of the following compound statements:
All rational numbers are real and all real numbers are complex.

{a, e, i, o, u) and {a, b, c, d} are disjoint sets.

Rewrite the following statements in the form "p if and only if q".
s: If a tumbler is half empty, then it is half full and if a tumbler is half full, then it is half empty.

Which of the following sentences are statements? Justify.
Sum of opposite angles of a cyclic quadrilateral is 180°