Does the point (-2.5, 3.5) lie inside, outside or on the circle�
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    21.

    Does the point (-2.5, 3.5) lie inside, outside or on the circle straight x squared plus straight y squared equals 25?

    The equation of circle is straight x squared plus straight y squared equals 25
    rightwards double arrow      left parenthesis straight x minus 0 right parenthesis squared plus left parenthesis straight y minus 0 right parenthesis squared space equals space 5 squared
    Comparing it with the standard equation of circle, left parenthesis straight x minus straight h right parenthesis squared plus left parenthesis straight y minus straight k right parenthesis squared equals straight r squared comma we have
    h = 0, k=0 and r = 5
    ∴ Centre of circle is O (0, 0) radius = 5
    Distance of point A (-2.5, 3.5) or straight A space open parentheses negative 5 over 2 comma space 7 over 2 close parentheses from the centre is OA space equals space square root of open parentheses 0 plus 5 over 2 close parentheses squared plus open parentheses 0 minus 7 over 2 close parentheses squared end root
                                              space space space equals square root of 25 over 4 plus 49 over 4 end root space equals space fraction numerator square root of 74 over denominator 2 end fraction less than 5
    rightwards double arrow Distance of point from centre is less than the radius.
    Hence, the point lies inside the circle.

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    22.

    Does the point (2, -1) lie inside, or on the circle straight x squared plus straight y squared plus 6 straight x minus 2 straight y minus 6 equals 0?

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    23.

    Find the equation of the circle whose centre and radii are:
    Centre (-3, -2), radius 7

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    24.

    Find the equation of the circle whose centre and radii are:
    Centre (a, a), radius space square root of 2 straight a

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    25.

    Find the equation of the circle whose centre and radii are:
    Centre open parentheses 1 half comma space 1 half close parentheses comma space radius space fraction numerator 1 over denominator square root of 2 end fraction

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    26. Find the equation of the circle whose centre and radii are:
    Centre (-a, -b), radius square root of straight a squared plus straight b squared end root
    111 Views
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    27. Find the equation of the circle whose centre and radii are:
    Centre at origin, radius 2 over 3 straight a 
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    28. Find the equation of the circle whose centre and radii are:
    Centre <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) #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>
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    29. Find the equation of circle whose centre is (3, – 1) and which passes through point (– 1, 2).
    105 Views
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    30. Find the equation of a circle whose centre is at point (h, k) and which passes through point (a, b).
    105 Views
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