State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$
State whether each of the following set is finite or infinite :
The set of circles passing through the origin $(0,0)$
The set of circles passing through the origin $(0,0)$ is an finite set because infinite number of circles can pass through the origin.
Similar Questions
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
Find the pairs of equal sets, if any, give reasons:
$A = \{ 0\} ,$
$B = \{ x:x\, > \,15$ and $x\, < \,5\} $
$C = \{ x:x - 5 = 0\} ,$
$D = \left\{ {x:{x^2} = 25} \right\}$
$E = \{ \,x:x$ is an integral positive root of the equation ${x^2} - 2x - 15 = 0\,\} $
Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.
Which of the following are sets ? Justify your answer.
A team of eleven best-cricket batsmen of the world.
Let $A=\{a, e, i, o, u\}$ and $B=\{a, b, c, d\} .$ Is $A$ a subset of $B ?$ No. (Why?). Is $B$ a subset of $A ?$ No. (Why?)
Let $A=\{a, e, i, o, u\}$ and $B=\{a, b, c, d\} .$ Is $A$ a subset of $B ?$ No. (Why?). Is $B$ a subset of $A ?$ No. (Why?)
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
Let $A=\{1,2,\{3,4\}, 5\} .$ Which of the following statements are incorrect and why ?
$1 \subset A$
Write the set $\{ x:x$ is a positive integer and ${x^2} < 40\} $ in the roster form.
Write the set $\{ x:x$ is a positive integer and ${x^2} < 40\} $ in the roster form.