The figure drawn along side, shows a ∆ABC, in which DE is para
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    Triangles

    Multiple Choice QuestionsShort Answer Type

    261. D, E and F are the mid points of the sides AB, BC and CA respectively ∆ABC. Find <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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    262.

    In the given fig, P and Q are points on the sides AB and AC respectively of increment ABC such that AP = 3.5 cm, PB = 7 cm, AQ = 3 cm and QC = 6 cm. If PQ = 4.5 cm, find BC.

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    263.

    In the given Fig, PQ = 24 cm, QR = 26 cm, ∠PAR = 90°, PA = 6 cm, and AR = 8, cm. Find ∠QPR.


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    264. ∆ABC and ∆DBC lie on the same side of base BC. From a point P on base BC, PQ || AB and PR || BD are drawn. Prove that QR || AD.
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    265. If D and E are the points on the sides AB and AC of a triangle ABC respectively, such that AD = 6 cm, BD = 9 cm, AE = 8 cm and EC = 12 cm. Show that DE is parallel to BC.
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    266. The figure drawn along side, shows a ∆ABC, in which DE is parallel to BC. If <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> and AC = 7.2 cm; find AE.

    Solution not provided.
    Ans. 4 cm.

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    267. The given figure shows a quadrilateral ABCD in which AB is parallel to DC, OA = 3x - 19, OB = x - 3, OC = x - 5 and OD = 3. Find the value of x.
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    Multiple Choice QuestionsLong Answer Type

    268. If the bisector of an angle of a triangle bisects the opposite side, prove that triangle is isosceles.
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    269. ABC and DBC are two right triangles with common hypotenuse BC and with their sides AC and BD intersecting at point P. Prove AP × PC = DP × pb.
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    Multiple Choice QuestionsShort Answer Type

    270. In the given figure, AB || CD, AB = 12 cm, OB = (3x + 3) cm, CD = 5.v cm and OC = (6x + 1) cm. Find the value of x.
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