If $aN = \{ax : x \in N\}$ and $bN \cap cN = dN$,where $b, c \in N$ are coprime numbers,then:

With reference to a universal set,the inclusion relation $(\subseteq)$ of a subset in another is:

State whether the following set is finite or infinite:
The set of circles passing through the origin $(0,0)$.

Let $P$ and $T$ be the subsets of the $xy$-plane defined by $P = \{(x, y) : x > 0, y > 0 \text{ and } x^2 + y^2 = 1\}$ and $T = \{(x, y) : x > 0, y > 0 \text{ and } x^8 + y^8 < 1\}$. Then, $P \cap T$ is

If $A = \{1, 2, 3, 4, 5, 6\}$, then which of the following statements is not true?

Which of the following is a set? Justify your answer.
The collection of ten most talented writers of India.