Question

Check whether the points (2, 2), (4, 4) and $left parenthesis 1 comma space 2 square root of 2 right parenthesis$ lie inside, outside or on the cirlcle $straight x squared plus straight y squared equals 9.$

Solution

The given equation of the circle is $straight x squared plus straight y squared equals 9$
The centreo of the circle is (0, 0) and radius of circle is 3
For point (2, 2).
Distance of point (2, 2) from centre (0, 0) = $square root of left parenthesis 2 minus 0 right parenthesis squared plus left parenthesis 2 minus 0 right parenthesis squared end root space equals space 2 square root of 2 space less than 3$ (radius of circle)
∴ Point (2, 2) lies inside the circle
For point (4, 4),
Distance of point (4, 4) from centre (0, 0) = $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$ (radius of circle)
∴ Point (4, 4) lies outside the circle
For point $left parenthesis 1 comma space 2 square root of 2 right parenthesis comma$
Distance of point $left parenthesis 1 comma space 2 square root of 2 right parenthesis$ from the centre of the circle (0, 0).
$equals square root of left parenthesis 1 minus 0 right parenthesis squared plus left parenthesis 2 square root of 2 minus 0 right parenthesis squared end root equals square root of 1 plus 8 end root space equals space square root of 9 space equals space 3$ (radius of the circle).
∴ Point $left parenthesis 1 comma space 2 square root of 2 right parenthesis$ lies on the circle.

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Binomial Theorem

Check whether the points (2, 2), (4, 4) and $left parenthesis 1 comma space 2 square root of 2 right parenthesis$ lie inside, outside or on the cirlcle $straight x squared plus straight y squared equals 9.$

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For Daily Free Study Material Join wiredfaculty

Binomial Theorem

Check whether the points (2, 2), (4, 4) and lie inside, outside or on the cirlcle

Some More Questions From Binomial Theorem Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Check whether the points (2, 2), (4, 4) and $left parenthesis 1 comma space 2 square root of 2 right parenthesis$ lie inside, outside or on the cirlcle $straight x squared plus straight y squared equals 9.$