Binomial Theorem

Question
CBSEENMA11015067

In each of the following, find the equation of circle with centre open parentheses 1 half comma space 1 fourth close parentheses and radius 1 over 12

Solution

Centre (h, k) left right arrow open parentheses 1 half comma space 1 fourth close parentheses rightwards double arrowspace space space space space space space space space space space space space space straight h equals 1 half comma space straight k space equals space 1 fourth space space Radius comma space space straight r equals 1 over 12
∴ Equation of circle is : <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
#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>
or open parentheses straight x minus 1 half close parentheses squared plus open parentheses straight y minus 1 fourth close parentheses squared space equals space open parentheses 1 over 12 close parentheses squared space or space straight x squared plus straight y squared minus straight x minus 1 half straight y plus 1 fourth plus 1 over 16 equals 1 over 144
or  144 straight x squared plus 144 straight y squared minus 144 straight x minus 72 straight y plus 36 plus 9 equals 1
or  144 straight x squared plus 144 straight y squared minus 144 straight x minus 72 straight y plus 44 equals 0
or  36 straight x squared plus 36 straight y squared minus 36 straight x minus 18 straight y plus 11 equals 0
Hence, the equation of circle is: 36 straight x squared plus 36 straight y squared minus 36 straight x minus 18 straight y plus 11 equals 0

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