Binomial Theorem

Question
CBSEENMA11015123

Find the equation of the parabola whose vertex is at (0, 0) and focus is at (0, – 2).

Solution

The vertex of the parabola is at O(0, 0) and the focus at S (0, -2). For both the points, x = 0.
rightwards double arrow     The x-axis of the parabola is along x = 0 or the y-axis.
rightwards double arrow     The equation of the parabola in the standard form 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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Also, the focus straight S space left parenthesis 0 comma space straight a right parenthesis space left right arrow space left parenthesis 0 comma space minus 2 right parenthesis space rightwards double arrow space straight a space equals space minus 2
Hence, the equation of the parabola is: straight x squared equals 4 left parenthesis negative 2 right parenthesis space straight y space or space straight x squared equals negative 8 straight y

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