{"id":4596,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-6-3\/"},"modified":"2016-05-17T10:55:06","modified_gmt":"2016-05-17T05:25:06","slug":"ncert-solutions-class-11-maths-exercise-6-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-6-3\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 6.3"},"content":{"rendered":"

Exercise 6.3<\/strong><\/p>\n

Solve the following systems of inequalities graphically:<\/strong><\/p>\n

1. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from origin.<\/p>\n

Again Putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from origin.<\/p>\n

<\/p>\n

\n

2. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Also, putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from origin.<\/p>\n

Again, Again Putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from origin.<\/p>\n

\n

3. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Again, Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in , <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

\n

4. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Again, Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (3, 0) in , <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

\n

5. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Again, Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

\n

6. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in , <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Again, Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

\n

7. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

<\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

\n

8. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

5<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n

\n

5<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in , <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in , <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

\n

9. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

5<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in , <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is false.<\/p>\n

Half plane of away from the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is false.<\/p>\n

Half plane of away from the origin.<\/p>\n

\n

10. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

8<\/p>\n<\/td>\n

\n

12<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

9<\/p>\n<\/td>\n

\n

6<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

9<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

10<\/p>\n<\/td>\n

\n

7<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is true.<\/p>\n

Half plane of towards the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is true.<\/p>\n

Half plane of towards the origin.<\/p>\n

\n

11. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

\n

12. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

5<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is true.<\/p>\n

Half plane of towards the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is false.<\/p>\n

Half plane of away from the origin.<\/p>\n

\n

13. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

15<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

<\/p>\n<\/td>\n

\n

20<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

5<\/p>\n<\/td>\n

\n

10<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

10<\/p>\n<\/td>\n

\n

20<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (10, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is false.<\/p>\n

Half plane of away from the origin.<\/p>\n

\n

14. <\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

30<\/p>\n<\/td>\n

\n

40<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n

\n

15<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

40<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

10<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Again, putting (0, 0) in ,<\/p>\n

which is true.<\/p>\n

Half plane of towards the origin.<\/p>\n

\n

15. <\/strong><\/p>\n

Ans.<\/strong> Given: <\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

4<\/p>\n<\/td>\n

\n

3<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Putting (0, 0) in <\/p>\n

which is true.<\/p>\n

Half plane of is towards the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

0<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (0, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n

Table of values satisfying the equation <\/p>\n\n\n\n\n
\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n

\n

<\/p>\n<\/td>\n

\n

1<\/p>\n<\/td>\n

\n

2<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Putting (2, 0) in <\/p>\n

which is false.<\/p>\n

Half plane of is away from the origin.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 6.3 Solve the following systems of inequalities graphically: 1. Ans. Given: Putting (0, 0) in which is false. Half plane of is away from origin. Again Putting (0, 0) in which is false. Half plane of is away from origin. 2. Ans. Given: Table of values satisfying the equation 2 4 3 0 Putting … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4596","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 6.3 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-6-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 6.3 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 6.3 Solve the following systems of inequalities graphically: 1. Ans. Given: Putting (0, 0) in which is false. Half plane of is away from origin. Again Putting (0, 0) in which is false. Half plane of is away from origin. 2. Ans. Given: Table of values satisfying the equation 2 4 3 0 Putting ... Read more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-6-3\/\" \/>\n<meta property=\"og:site_name\" content=\"myCBSEguide\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/mycbseguide\/\" \/>\n<meta property=\"article:published_time\" content=\"2016-05-17T04:19:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2016-05-17T05:25:06+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/maths\/ch06\/Ex6.3\/image001.png\" \/>\n<meta name=\"author\" content=\"myCBSEguide\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:site\" content=\"@mycbseguide\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"myCBSEguide\" \/>\n\t<meta name=\"twitter:label2\" 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