Binomial Theorem


In the following, find the co-ordinates of the focus, axis of the parabola, the equation of the directrix and length of the latus rectum.
straight y squared equals 10 straight x


straight y squared equals 10 straight x
It is the equation of parabola in the standard form straight y squared equals 4 ax comma space straight a greater than 0 and open towards the right.
Comparing with straight y squared space equals space 4 ax comma we have 4a = 10 rightwards double arrow space space straight a equals 5 over 2

∴  The co-ordinates of the focus S are (a, 0) left right arrow open parentheses 5 over 2 comma space 0 close parentheses
     The equation of the axis of the parabola is y = 0 (x - axis).
     The equation of directrix is x + a = 0 or space space straight x plus 5 over 2 equals 0 space or space 2 straight x plus 5 equals 0
      The length of latus rectum = <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/ at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/ line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#2 /home/config_admin/public/ com_wiris_util_sys_Store->mkdirs()
#3 /home/config_admin/public/ com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...')
#4 /home/config_admin/public/ com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array)
#5 /home/config_admin/public/ com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array)
#6 {main}</pre>

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