Binomial Theorem

Question
CBSEENMA11015174

Find the equation of an ellipse whose major axis is along the x-axis and which passes through the points (6, 3) and (12, 0).

Solution

The major axis of the ellipse is along the x-axis.
 ∴ The equation of ellipse is space straight x squared over straight a squared plus straight y squared over straight b squared equals 1                                                  ...(i)
It passes through (6, 3) rightwards double arrow   6 squared over straight a squared plus 3 squared over straight b squared equals 1 space space rightwards double arrow space 36 over straight a squared plus 9 over straight b squared equals 1                    ...(ii)
It passes through (12, 0) space space space rightwards double arrow space    12 squared over straight a squared plus 0 squared over straight b squared equals 1 space rightwards double arrow space 144 over straight a squared equals 1 space rightwards double arrow space space straight a squared equals 144
∴ From (ii), 36 over 144 plus 9 over straight b squared equals 1 space space rightwards double arrow space 1 fourth plus 9 over straight b squared equals 1 space space rightwards double arrow space 9 over straight b squared equals 3 over 4 space space space space rightwards double arrow space space straight b squared equals 12
Hence, the equation of ellipse, from (i), 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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