{"id":4604,"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-8-2\/"},"modified":"2016-05-17T11:04:13","modified_gmt":"2016-05-17T05:34:13","slug":"ncert-solutions-class-11-maths-exercise-8-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-8-2\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 8.2"},"content":{"rendered":"

Exercise 8.2<\/strong><\/p>\n

Find the coefficient of:<\/strong><\/p>\n

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

Ans. <\/strong>General form of the expansion is \u2026\u2026\u2026(i)<\/p>\n

<\/p>\n

Putting in eq. (i), <\/p>\n

Therefore, coefficient of on the expansion is = 1512.<\/p>\n

\n

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

Ans. <\/strong>General form of the expansion is \u2026\u2026\u2026(i)<\/p>\n

<\/p>\n

Putting in eq. (i), <\/p>\n

Therefore, coefficient of on the expansion is = <\/p>\n

\n

Write the general term in the expansion of<\/strong><\/p>\n

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

Ans. <\/strong>General form of the expansion is <\/p>\n

<\/p>\n

\n

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

Ans. <\/strong>General form of the expansion is <\/p>\n

<\/p>\n

\n

5. Find the 4th<\/sup> term in the expansion of <\/strong><\/p>\n

Ans. <\/strong>General form of the expansion is <\/p>\n

<\/p>\n

Putting <\/p>\n

= = <\/p>\n

\n

6. Find the 13th<\/sup> term in the expansion of <\/strong><\/p>\n

Ans. <\/strong>General form of the expansion is \u2026..(i)<\/p>\n

Putting <\/p>\n

<\/p>\n

= = = 18564<\/p>\n

\n

Find the middle terms in the expansion of:<\/strong><\/p>\n

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

Ans. <\/strong>Here which is an odd number.<\/p>\n

Therefore, the middle terms are and are 4th<\/sup> and 5th<\/sup> terms.<\/p>\n

General form of the expansion is \u2026..(i)<\/p>\n

Putting and in eq. (i),<\/p>\n

<\/p>\n

= <\/p>\n

= = <\/p>\n

<\/p>\n

= <\/p>\n

= = <\/p>\n

\n

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

Ans. <\/strong>Here which is an even number.<\/p>\n

Therefore, the middle terms are is 6th<\/sup> term.<\/p>\n

General form of the expansion is \u2026..(i)<\/p>\n

Putting in eq. (i),<\/p>\n

<\/p>\n

= <\/p>\n

= <\/p>\n

= <\/p>\n

\n

9. In the expansion of <\/strong> prove that coefficients of <\/strong> and <\/strong> are equal.<\/strong><\/p>\n

Ans. <\/strong>Coefficient of in the expansion of <\/p>\n

<\/p>\n

\n

10. The coefficients of the <\/strong> and <\/strong> terms in the expansion of <\/strong> are in the ratio 1 : 3 : 5. Find <\/strong> and <\/strong><\/p>\n

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

and <\/p>\n

and <\/p>\n

and <\/p>\n

Solving both equations, we have and <\/p>\n

\n

11. Prove that the coefficient of <\/strong> in the expansion of <\/strong> is twice the coefficient of <\/strong> in the expansion of <\/strong><\/p>\n

Ans. <\/strong>Since, Coefficient of in the expansion of is<\/p>\n

= <\/p>\n

= \u2026\u2026\u2026.(i)<\/p>\n

Also Coefficient of in the expansion of is \u2026\u2026\u2026.(ii)<\/p>\n

From eq. (i) and eq. (ii), it is clear that Coefficient of in the expansion of is twice the Coefficient of in the expansion of .<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 8.2 Find the coefficient of: 1. in Ans. General form of the expansion is \u2026\u2026\u2026(i) Putting in eq. (i), Therefore, coefficient of on the expansion is = 1512. 2. in Ans. General form of the expansion is \u2026\u2026\u2026(i) Putting in eq. (i), Therefore, coefficient of on the expansion is = Write the general term … 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-4604","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 8.2 | 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-8-2\/\" \/>\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 8.2 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 8.2 Find the coefficient of: 1. in Ans. General form of the expansion is \u2026\u2026\u2026(i) Putting in eq. (i), Therefore, coefficient of on the expansion is = 1512. 2. in Ans. General form of the expansion is \u2026\u2026\u2026(i) Putting in eq. (i), Therefore, coefficient of on the expansion is = Write the general term ... 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General form of the expansion is \u2026\u2026\u2026(i) Putting in eq. (i), Therefore, coefficient of on the expansion is = 1512. 2. in Ans. General form of the expansion is \u2026\u2026\u2026(i) Putting in eq. (i), Therefore, coefficient of on the expansion is = Write the general term ... 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