{"id":4603,"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-8-1\/"},"modified":"2016-05-17T11:03:21","modified_gmt":"2016-05-17T05:33:21","slug":"ncert-solutions-class-11-maths-exercise-8-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-8-1\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 8.1"},"content":{"rendered":"

Exercise 8.1<\/strong><\/p>\n

Expand each of the expression in Exercises 1 to 5.<\/strong><\/p>\n

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

Ans. <\/strong>Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

\n

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

Ans. <\/strong>Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

\n

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

Ans. <\/strong>Using Binomial Theorem,<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

\n

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

Ans. <\/strong>Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

\n

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

Ans. <\/strong>Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

\n

Using binomial theorem evaluate each of the following:<\/strong><\/p>\n

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

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= 1000000 \u2013 120000 + 4800 \u2013 64<\/p>\n

= 1004800 \u2013 120064 = 884736<\/p>\n

\n

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

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= 10000000000 + 1000000000 + 40000000 + 800000 + 8000 + 32<\/p>\n

= 11040808032<\/p>\n

\n

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

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= 100000000 + 4000000 + 60000 + 400 + 1<\/p>\n

= 104060401<\/p>\n

\n

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

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

Using Binomial Theorem,<\/p>\n

= <\/p>\n

= 10000000000 \u2013 500000000 + 10000000 \u2013 100000 + 500 \u2013 1<\/p>\n

= 9509900499<\/p>\n

\n

10. Using binomial theorem, indicate which number is larger <\/strong> or 1000.<\/strong><\/p>\n

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

= 1 + 10000 (0.1) + other positive numbers<\/p>\n

= 1 + 1000 + other positive numbers<\/p>\n

which is greater than 1000<\/p>\n

<\/p>\n

\n

11. Find <\/strong> Hence evaluate: <\/strong><\/p>\n

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

= <\/p>\n

Putting and <\/p>\n

<\/p>\n

= <\/p>\n

\n

12. Find <\/strong> Hence or otherwise evaluate <\/strong><\/p>\n

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

<\/p>\n

= <\/p>\n

= = <\/p>\n

Putting <\/p>\n

<\/p>\n

= <\/p>\n

= 2 [ 8 + 60 + 30 + 1] = = 198<\/p>\n

\n

13. Show that <\/strong> is divisible by 64 whenever <\/strong> is a positive integer.<\/strong><\/p>\n

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

Using Binomial Theorem,<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

<\/p>\n

<\/p>\n

which shows that is divisible by 64.<\/p>\n

\n

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

Ans. <\/strong>L.H.S. = <\/p>\n

= <\/p>\n

= = R.H.S.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 8.1 Expand each of the expression in Exercises 1 to 5. 1. Ans. Using Binomial Theorem, = = 2. Ans. Using Binomial Theorem, = = 3. Ans. Using Binomial Theorem, = = 4. Ans. Using Binomial Theorem, = = 5. Ans. Using Binomial Theorem, = = Using binomial theorem evaluate each of the following: … 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-4603","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 8.1 | 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-8-1\/\" \/>\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 8.1 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 8.1 Expand each of the expression in Exercises 1 to 5. 1. Ans. Using Binomial Theorem, = = 2. Ans. Using Binomial Theorem, = = 3. Ans. Using Binomial Theorem, = = 4. Ans. Using Binomial Theorem, = = 5. Ans. Using Binomial Theorem, = = Using binomial theorem evaluate each of the following: ... 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