Relations and Functions

Relations and Functions

Question

Find the modulus of space space space space space space space space fraction numerator 1 plus straight i over denominator 1 minus straight i end fraction minus fraction numerator 1 minus straight i over denominator 1 plus straight i end fraction.

Answer

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#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
#2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /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)
#6 {main}</pre>
   space space space space space space space space space space space space space space space space space space space space space space space space space equals space space fraction numerator 2 straight i plus 2 straight i over denominator 1 plus 1 end fraction equals fraction numerator 4 straight i over denominator 2 end fraction equals 2 straight i

   z = 2i = 0 + 2i

  space space space space space space open vertical bar z close vertical bar space space equals space square root of left parenthesis 0 right parenthesis squared space plus left parenthesis 2 right parenthesis squared space end root space equals space 2 space space
Hence,      space space space space space space space open vertical bar straight z close vertical bar equals space 2

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