સંબંધ S = {(x + y) । x, y  N, x + y = 8}નો પ્રદેશ અને વિસ્તાર શોધો. from ગણિત સંબંધ અને વિધેય Class 11 GSEB - Gujarati Medium

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સંબંધ અને વિધેય

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ગણિત ધોરણ 11 સેમિસ્ટર 1

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સંબંધ S = {(x + y) । x, y element of N, x + y = 8}નો પ્રદેશ અને વિસ્તાર શોધો.

x + y = 8 માટે, bold y bold space bold less-than or slanted equal to bold space bold 7

open parentheses bold because bold space bold x bold space bold element of bold space bold N bold space bold ત ે થ ી bold space bold y bold space bold equals bold space bold 8 bold space bold rightwards double arrow bold space bold x bold space bold equals bold space bold 0 bold space bold not an element of bold space bold N bold space bold space bold therefore bold space bold y bold space bold not equal to bold space bold 8 close parentheses

yની શક્ય કિંમતો 1, 2, 3, 4, 5, 6, 7 છે.

હવે, yની આ કિંમતો માટે xની સંગત કિંમતો 7, 6, 5, 4, 3, 2, 1 થાય.

આમ, S = {(7,1), (6, 2), (5, 3), (4, 4), (3, 5), (2, 6), (1, 7) }

આથી Sનો પ્રદેશ = {1, 2, 3, 4, 5, 6, 7}

અને Sનો વિસ્તાર = {1, 2, 3, 4, 5, 6, 7}


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A = {1, 2, 3, 5}, B = {4, 6, 9}, સંબંધ S = {(x, y) । x અને yનો તફાવત અયુગ્મ સંખ્યા છે ; <pre>uncaught exception: <b>Http Error #404</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php line 61<br />#0 [internal function]: com_wiris_plugin_impl_HttpImpl_0(Object(com_wiris_plugin_impl_HttpImpl), NULL, 'http://www.wiri...', 'Http Error #404')
#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('com_wiris_plugi...', Array)
#2 [internal function]: _hx_lambda->execute('Http Error #404')
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(532): call_user_func_array(Array, Array)
#4 [internal function]: haxe_Http_5(true, Object(com_wiris_plugin_impl_HttpImpl), Object(com_wiris_plugin_impl_HttpImpl), Array, Object(haxe_io_BytesOutput), true, 'Http Error #404')
#5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/php/Boot.class.php(769): call_user_func_array('haxe_Http_5', Array)
#6 [internal function]: _hx_lambda->execute('Http Error #404')
#7 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(27): call_user_func_array(Array, Array)
#8 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(444): com_wiris_plugin_impl_HttpImpl->onError('Http Error #404')
#9 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/haxe/Http.class.php(458): haxe_Http->customRequest(true, Object(haxe_io_BytesOutput), NULL, NULL)
#10 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/HttpImpl.class.php(40): haxe_Http->request(true)
#11 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(80): com_wiris_plugin_impl_HttpImpl->request(true)
#12 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#13 {main}</pre> }  આપેલો છે. Sને યાદીમાં Sને યાદીના સ્વરૂપમાં લખો.


નીચેની આકૃતિમાં એક સંબંધ દર્શાવેલ છે :

આ સંબંધને યાદીના સ્વરૂપમાં લખો.


સંબંધ S = {(x, x3)} । x એ 10 કરતાં નીની અવિભાજ્ય સંખ્યા છે }ને યાદીના સ્વરૂપમાં લખો.


જો bold f bold space bold colon bold thin space bold R to the power of bold plus bold space bold rightwards arrow bold space bold R to the power of bold plus bold comma bold space bold f bold space bold left parenthesis bold x bold right parenthesis bold space bold equals bold space bold x to the power of bold 2 bold space bold plus bold space bold 4 bold space square root of bold x bold space bold plus bold space bold 3 હોય, તો f (4), f (16) શોધો. 


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