Binomial Theorem

Question
CBSEENMA11015223

Find the equation of the hyperbola satisfying the given condition.
vertices are left parenthesis 0 comma space plus-or-minus space 5 right parenthesis comma space straight e space equals space 5 over 2.

Solution

The vertices left parenthesis 0 comma plus-or-minus 5 right parenthesis of the hyperbola lie on the y-axis.
∴ The standard equation of the hyperbola is straight y squared over straight a squared minus straight x squared over straight b squared equals 1                          ...(i)
Vertices 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)
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Also, eccentricity straight e equals 5 over 2
Now,                            straight c equals ae equals 5 open parentheses 5 over 2 close parentheses equals 25 over 2 space rightwards double arrow space straight c squared equals open parentheses 25 over 2 close parentheses squared space equals space 625 over 4
Also,                          space space straight c squared equals straight a squared plus straight b squared space space rightwards double arrow space 625 over 4 space equals space left parenthesis 5 right parenthesis squared plus straight b squared space rightwards double arrow space straight b squared space equals space 625 over 4 minus 25 equals 525 over 4  
Hence, from (i), the equation of the hyperbola 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)
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#6 {main}</pre>
or              straight y squared over 25 minus fraction numerator 4 straight x squared over denominator 525 end fraction equals 1 space or space 21 straight y squared minus 4 straight x squared equals 525

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