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.

11. State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) sec A = 12/5 for some value of angle A.
(iii) cos A is the abbreviation used for the cosecant of angle A.
(iv) cot A is the product of cot and A.
(v) sin θ= 4/3 for some angle 6.

178 Views

12. Evaluate:
sin 60° cos 30° + sin 30° cos 60°

93 Views

13. Evaluate:
2 tan² 45° + cos² 30° - sin² 60°

1564 Views

14. Evaluate:

fraction numerator cos space 45 degree over denominator sec space 30 degree space plus space cosec space 30 degree end fraction.

103 Views

15. Choose the correct option and justify your choice:

<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 #57mkdir(): 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 57<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 57, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(57): mkdir('/home/config_ad...', 511) #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>

(A) sin 60° (B) cos 60° (C) tan 60° (D) sin 30°.

379 Views

16.

Choose the correct option and justify your choice:
$fraction numerator 1 minus tan squared 45 degree over denominator 1 plus tan squared 45 degree end fraction$

(A) tan 90° (B) 1 (C) sin 45° (D) 0.

260 Views

17.

Choose the correct option and justify your choice:
sin 2A = 2 sin A is true when A =
(A) 0° (B) 30° (C) 45° (D) 60°

119 Views

18.
Choose the correct option and justify your choice:
$fraction numerator 2 tan 30 degree over denominator 1 minus tan squared 30 degree end fraction equals$
(A) cos 60° (B) sin 60° (C) tan 60° (D) sin 30°.

fraction numerator 2 space tan space 30 degree over denominator 1 minus tan squared 30 degree end fraction space equals space fraction numerator 2 cross times begin display style fraction numerator 1 over denominator square root of 3 end fraction end style over denominator 1 minus open parentheses begin display style fraction numerator 1 over denominator square root of 3 end fraction end style close parentheses squared end fraction space equals space fraction numerator begin display style fraction numerator 2 over denominator square root of 3 end fraction end style over denominator 1 minus begin display style 1 third end style end fraction

equals space fraction numerator begin display style fraction numerator 2 over denominator square root of 3 end fraction end style over denominator begin display style 2 over 3 end style end fraction space equals space fraction numerator 2 over denominator square root of 3 end fraction cross times 3 over 2 space equals space square root of 3 space end root space equals space tan space 60 degree

Ans. (C).

103 Views

19.

If $tan left parenthesis straight A plus straight B right parenthesis space equals square root of 3 space space and space tan left parenthesis straight A minus straight B right parenthesis space equals space fraction numerator 1 over denominator square root of 3 end fraction semicolon$ $0 degree less than straight A plus straight B less or equal than 90 degree semicolon space space space straight A greater than straight B.$ Find A and B.