+91-8076753736 [email protected]
logo
logo

Introduction to Trigonometry

Sponsor Area

Question
CBSEENMA10006976
Wired Faculty App

Find the distance between the following pairs of points :
(2, 3), (4, 1)

Solution

Let the given points be A(2, 3) and B(4, 1).
We know that the distance between two points A(x1, y1) and B(x2, y2) is given by
AB  = <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>

Sponsor Area

Question
CBSEENMA10006977
Wired Faculty App

Find the distance between the following pairs of points :
(– 5, 7), (– 1, 3)

Solution

Let the given points be A(-5, 7) and B(-1, 3).
Let the given points be A(-5, 7) and B(-1, 3).
AB space equals space square root of open parentheses straight x subscript 2 minus straight x subscript 1 close parentheses squared plus open parentheses straight y subscript 2 minus straight y subscript 1 close parentheses squared end root rightwards double arrow space AB space equals square root of left curly bracket negative 1 minus left parenthesis 55 right parenthesis right curly bracket squared left parenthesis negative 3 minus left parenthesis negative 1 right parenthesis right curly bracket squared end root space space space space space space space space space space space space equals space square root of 16 plus 16 end root equals square root of 32 space space space space space space space space space space space space space equals 4 square root of 2

Question
CBSEENMA10006978
Wired Faculty App

Find the distance between the following pairs of points :
(a, b), (– a, – b)

Solution

Let the given points be A (a, b) and B(-a, -b)
We know that the distance between two points A (a, b) and B(-a, -b) is given by
AB space equals space square root of open parentheses straight x subscript 2 plus straight x subscript 1 close parentheses squared plus left parenthesis straight y subscript 2 minus straight y subscript 1 right parenthesis squared end root therefore space space AB space equals space square root of open parentheses negative straight a minus straight a close parentheses squared plus left parenthesis negative straight b minus straight b right parenthesis squared end root space space space space space space space space space space space equals space square root of left parenthesis negative 2 straight a right parenthesis squared plus left parenthesis negative 2 straight b right parenthesis squared end root space space space space space space space space space space space equals space square root of 4 straight a squared plus 4 straight b squared end root space space space space space space space space space space space space equals space square root of 4 left parenthesis straight a squared plus straight b squared right parenthesis end root space space space space space space space space space space space space equals space square root of 4 left parenthesis straight a squared plus straight b squared right parenthesis end root space space space space space space space space space space space space space space equals space 2 square root of straight a squared plus straight b squared end root

Question
CBSEENMA10006979
Wired Faculty App

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2.

Solution

Let the given points be A(0, 0) and B(36, 15) then,
AB space space equals space square root of open parentheses 36 minus 0 close parentheses squared plus left parenthesis 15 minus 0 right parenthesis squared end root space space space space space space equals space space square root of open parentheses 36 close parentheses squared plus left parenthesis 15 right parenthesis squared end root space space space space space space space equals space square root of 1296 plus 225 end root equals square root of 1521 space space space space space space space space equals space 39
Yes, we can find the distance between the two towns A and B discussed in section 7.2 and this distance = 39 km.

Sponsor Area

Mock Test Series

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation