- Home
- Standard 12
- Mathematics
1.Relation and Function
easy
The relation $R$ defined on the set $A = \{1, 2, 3, 4, 5\}$ by $R = \{(x, y)$ : $|{x^2} - {y^2}| < 16\} $ is given by
A
$\{(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)\}$
B
$\{(2, 2), (3, 2), (4, 2), (2, 4)\}$
C
$\{(3, 3), (3, 4), (5, 4), (4, 3), (3, 1)\}$
D
None of the above
Solution
(d) Here $R = \{ (x,\,y)\,:\,|{x^2} – {y^2}|\, < \,16\} $
and given $A = \{ 1,\,2,\,3,\,4,\,5\} $
$\therefore R = \{ (1,\,2)\,(1,\,3)\,(1,\,4);\,(2,\,1)\,(2,\,2)\,(2,\,3)\,(2,\,4);\,(3,\,1)\,(3,\,2)\,$
$(3,\,3)(3,\,4);\,(4,\,1)\,(4,\,2)\,(4,\,3);\,(4,\,4)\,(4,\,5),\,(5,\,4)\,(5,\,5)\} $.
Standard 12
Mathematics
