Binomial Theorem

Question
CBSEENMA11015171

Find the equation of an ellipse that satisfies the following conditions
Ends of major axis at space left parenthesis 0 comma space plus-or-minus square root of 13 right parenthesis comma ends of minor axis at space space left parenthesis plus-or-minus 2 comma space 0 right parenthesis.  Also find the co-ordinate of foci.

Solution

Ends of major axis left parenthesis 0 comma space plus-or-minus square root of 13 right parenthesis lie on y-axis.
∴ Equation of ellipse in the standard form is space space straight y squared over straight a squared plus straight x squared over straight b squared equals 1
Ends of major axis are <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>
Ends of minor axis are left parenthesis plus-or-minus straight b comma space 0 right parenthesis space left right arrow space left parenthesis plus-or-minus 2 comma space 0 right parenthesis space rightwards double arrow space straight b space equals space 2
Hence, from (i), the equation of ellipse is space space fraction numerator straight y squared over denominator left parenthesis square root of 13 right parenthesis squared end fraction plus straight x squared over 2 squared equals 1 space or space straight y squared over 13 plus straight x squared over 4 equals 1
Also,                          straight c squared equals straight a squared minus straight b squared equals 13 minus 14 space rightwards double arrow space straight c squared equals 9 space space or space straight c equals 3
∴ The foci are left parenthesis 0 comma space plus-or-minus straight c right parenthesis space or space left parenthesis 0 comma space plus-or-minus 3 right parenthesis.

Sponsor Area

Some More Questions From Binomial Theorem Chapter