Find the discriminant of the following quadratic equation, and

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.

Advertisement

Quadratic Equations

Short Answer Type

61. Represent the following situation in the form of a quadratic equation:
The sum of the ages of a son and his father (in years) is 35 and the product of their ages is 150.

130 Views

62. Represent the following situation in the form of a quadratic equation:
The product of Aditya’s age in years, five years ago with his age in years 9 years later is 15.

110 Views

63. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

space space 2 straight x squared minus 4 straight x plus 3 equals 0

115 Views

64. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

3 straight x squared minus 2 straight x plus 1 third equals 0

155 Views

Advertisement

Advertisement

65. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.
$2 straight x squared minus 3 straight x plus 5 equals 0$

We have,

2 straight x squared minus 3 straight x plus 5 equals 0

Here,

space space space straight a equals 2 comma space straight b space equals negative 3 comma space straight c space equals 5

Now,

straight D equals straight b squared minus 4 ac space space space equals space left parenthesis negative 3 right parenthesis squared minus 4 left parenthesis 2 right parenthesis left parenthesis 5 right parenthesis space space space equals 9 space minus 40 space equals space minus 31

Since, D < 0
Therefore, the given quadratic equation has no real roots.

94 Views

Advertisement

66. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

3 straight x squared minus 4 square root of 3 straight x plus 4 equals 0

102 Views

67. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

<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>

102 Views

68. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

2 square root of 3 straight y squared minus 14 straight y plus 4 square root of 3 equals 0

102 Views

Advertisement

69. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

space space 4 straight y squared minus 2 straight y plus 1 fourth equals 0

146 Views

70. Find the discriminant of the following quadratic equation, and hence find the nature of its roots.

2 straight x squared plus 5 square root of 2 straight x plus 6 equals 0

98 Views

6
7
8

Advertisement