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2.Relations and Functions
easy
Write the relation $R = \{ \left( {x,{x^3}} \right):x$ is a prime number less than $10{\rm{\} }}$ in roster form.
A
$\{ (2,8),(3,27),(5,125),(7,343)\} $
B
$\{ (2,8),(3,27),(5,125),(7,343)\} $
C
$\{ (2,8),(3,27),(5,125),(7,343)\} $
D
$\{ (2,8),(3,27),(5,125),(7,343)\} $
Solution
$R = \{ \left( {x,{x^3}} \right):x$ is a prime number less than $10\} .$ The prime numbers less than $10$ are $2,3,5$ and $7.$
$\therefore R=\{(2,8),(3,27),(5,125),(7,343)\}$
Standard 11
Mathematics