Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Binomial Theorem

Short Answer Type

161.

Find the co-efficient of $straight x squared$ in the expansion of $open parentheses 3 straight x minus 1 over straight x close parentheses to the power of 6$

117 Views

162.

Find the co-efficient of $straight x to the power of 8$ in the expansion of $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$

118 Views

163.

Find the co-efficient of $space straight x to the power of 18$ in the expansion of $open parentheses ay to the power of 1 half end exponent minus bx cubed close parentheses to the power of 17$

122 Views

164.
Show that there is no term involving $straight x to the power of 6$ in the expansion of $open parentheses 2 straight x squared minus 3 over straight x close parentheses to the power of 11.$

Solution not provided.

120 Views

165.

If $straight x to the power of straight p$ occurs in the expansion of $open parentheses straight x squared plus 1 over straight x close parentheses to the power of 2 straight n end exponent comma$ prove that its co-efficient is $fraction numerator left parenthesis 2 straight n right parenthesis factorial over denominator open parentheses begin display style fraction numerator 4 straight n minus straight p over denominator 3 end fraction end style close parentheses factorial space open parentheses begin display style fraction numerator 2 straight n plus straight p over denominator 3 end fraction end style close parentheses factorial end fraction.$

108 Views

166.

If $straight x to the power of straight r$ occurs in the expansion of $open parentheses straight x plus 1 over straight x close parentheses to the power of straight n comma$ find the co-efficient of $straight x to the power of straight r.$