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Mathematics : Conic Section

Short Answer Type

181. One end of the diameter AB of a circle x² + v² – 8x + 6y + 17 = 0 is A (2, – 1). What are the co-ordinates of the other end B?

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182. Find the equation of the circle passing through points A (1, 0), B (2, – 7) and having its centre on straight line x – 2y – 11 = 0.

95 Views

Long Answer Type

183.

Find (a) the co-ordinates of the centre (b) the radius (c) the equation of the circle drawn on the line segment joining points A (– 1, 2) and B (3, – 4) as diameter.

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184. Find the equation of the circle passing through points (0, 2), (3, 0) and (3, 2).

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185. Find the equation of circle having centre at (2, 1) and touching the straight line 2x +y + 5 = 0.

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186.

Find (i) the co-ordinates of the focus.
(ii) the equation of directrix
(iii) the latus rectum for the parabola
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187.

Find (i) the co-ordinates of the focus.
(ii) the equation of directrix.
(iii) the latus rectum for the parabola.
$<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

95 Views

188.

Find (i) the co-ordinates of the focus.
(ii) the equation of directrix.
(iii) the latus rectum for the parabola.
$2 straight y squared plus 5 straight x equals 0$

86 Views

189.

Find (i) the co-ordinates of the focus.
(ii) the equation of directrix.
(iii) the latus rectum for the parabola.
$space space space straight x squared equals 6 straight y$

89 Views

Short Answer Type

190. The vertex of a parabola is at the origin and its focus is on the positive side of y-axis. If the parabola passes through the point (4, 2), find its equation.

97 Views