For what value of m, the pair of linear equations mx = 2y, 2x -

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

 Multiple Choice QuestionsShort Answer Type

151.

Solve the following pair of linear equations:

px + qy = p - q
qx - py = p + q

163 Views

 Multiple Choice QuestionsLong Answer Type

152.

Solve the following pair of linear equations:

ax + by = c   
bx + ay = 1 + c   

195 Views

153. straight x over straight a minus straight y over straight b equals 0
ax plus by equals straight a squared plus straight b squared
150 Views

 Multiple Choice QuestionsShort Answer Type

154.

Solve the following pair of linear equations:

<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>

143 Views

Advertisement
155.

Solve the following pair of linear equations:

152x – 378y = – 74
–378x + 152y = – 604

931 Views

 Multiple Choice QuestionsLong Answer Type

156.

ABCD is a cyclic quadrilateral (see Fig. 3.7). Find the angles of the cyclic quadrilateral.

781 Views

 Multiple Choice QuestionsShort Answer Type

157.

Find the number of solutions of the follow ing pair of linear equations :
x + 2y - 8 = 0
2x + 4y = 16

146 Views

158.

Is the pair of linear equations consistent:
2x - 3y + 2 = 0,3x - 5y + 4 = 0.

82 Views

Advertisement
159. Find the value of k so that the followings systemk of a equations has no solution.
3x - y - 5 = 0; 6x - 2y - k = 0 
589 Views

Advertisement

160. For what value of m, the pair of linear equations mx = 2y, 2x - y + 5 = 0 has unique solution.


Given pair of linear equations are :

mx space equals space 2 straight y
rightwards double arrow space mx space minus space 2 straight y space equals space 0
and space 2 straight x minus straight y plus 5 space equals space 0

Here,  we  have

straight a subscript 1 equals straight m subscript 1 comma space space straight b subscript 1 equals negative 2
and space straight a subscript 2 equals 2 comma space straight b subscript 2 equals negative 1

For unique solution :

straight a subscript 1 over straight a subscript 2 not equal to straight b subscript 1 over straight b subscript 2
rightwards double arrow space space straight m over 2 not equal to fraction numerator negative 2 over denominator negative 1 end fraction
rightwards double arrow space straight m not equal to 4
∴ The given system of equations has unique solution for all real values of k other than 4.
368 Views

Advertisement
Advertisement