{"id":752472,"date":"2025-01-09T11:25:49","date_gmt":"2025-01-09T05:55:49","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=752472"},"modified":"2025-01-09T11:33:48","modified_gmt":"2025-01-09T06:03:48","slug":"class-11-maths-chapter-8-binomial-theorem-mcqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/binomial-theorem\/","title":{"rendered":"Class 11 Maths Chapter 8 Binomial Theorem MCQs"},"content":{"rendered":"<p><strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/class-11-maths\/\">Class 11 Maths mcqs<\/a><\/strong>  Chapter 8, Binomial Theorem, <strong><a href=\"https:\/\/infinitylearn.com\/surge\/mcqs\/\">MCQs<\/a><\/strong> are provided here to help students score well in their 2024-25 board exams. These multiple-choice questions are based on the <strong><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/cbse-syllabus\/\">CBSE syllabus<\/a><\/strong> and follow the latest <strong><a href=\"https:\/\/infinitylearn.com\/surge\/cbse\/\">CBSE<\/a><\/strong> guidelines. The binomial theorem is an important topic in mathematics, and understanding it will not only prepare you for board exams but also for other competitive exams. Practicing these MCQs is a simple and effective way to revise and strengthen your knowledge at any time.<\/p>\n<h2>MCQs on Class 11 Maths Chapter 8 Binomial Theorem<\/h2>\n<div class=\"question\">\n<p>1. The general term in the binomial expansion of <code>(x + y)<sup>n<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) T<sub>r<\/sub> = <code>C(n, r) x<sup>r<\/sup> y<sup>n-r<\/sup><\/code><\/li>\n<li>(b) T<sub>r<\/sub> = <code>C(n, r) x<sup>n-r<\/sup> y<sup>r<\/sup><\/code><\/li>\n<li>(c) T<sub>r<\/sub> = <code>C(n, r) x<sup>n<\/sup> y<sup>r<\/sup><\/code><\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (b)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>2. In the expansion of <code>(1 + x)<sup>6<\/sup><\/code>, the coefficient of <code>x<sup>3<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 10<\/li>\n<li>(b) 20<\/li>\n<li>(c) 15<\/li>\n<li>(d) 25<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (c)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>3. The sum of the coefficients in the expansion of <code>(x + y)<sup>n<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) n<\/li>\n<li>(b) <code>2<sup>n<\/sup><\/code><\/li>\n<li>(c) n<sup>2<\/sup><\/li>\n<li>(d) n!<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (b)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>4. The number of terms in the expansion of <code>(a + b)<sup>n<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) n + 1<\/li>\n<li>(b) n &#8211; 1<\/li>\n<li>(c) 2n<\/li>\n<li>(d) n<sup>2<\/sup><\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (a)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>5. The coefficient of the middle term in <code>(1 + x)<sup>4<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 6<\/li>\n<li>(b) 4<\/li>\n<li>(c) 3<\/li>\n<li>(d) 5<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (a)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>6. In the expansion of <code>(x + y)<sup>n<\/sup><\/code>, the value of <code>C(n, 0) + C(n, 1) + ... + C(n, n)<\/code> is equal to:<\/p>\n<ul>\n<li>(a) n<\/li>\n<li>(b) <code>2<sup>n<\/sup><\/code><\/li>\n<li>(c) n<sup>2<\/sup><\/li>\n<li>(d) n!<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (b)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>7. The term independent of <code>x<\/code> in the expansion of <code>(x + 1\/x)<sup>6<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 10<\/li>\n<li>(b) 15<\/li>\n<li>(c) 20<\/li>\n<li>(d) 25<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (c)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>8. The value of <code>C(6, 2)<\/code> is:<\/p>\n<ul>\n<li>(a) 12<\/li>\n<li>(b) 15<\/li>\n<li>(c) 20<\/li>\n<li>(d) 10<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (c)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>9. In the expansion of <code>(2 + 3x)<sup>4<\/sup><\/code>, the coefficient of <code>x<sup>2<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 54<\/li>\n<li>(b) 108<\/li>\n<li>(c) 81<\/li>\n<li>(d) 72<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (b)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>10. The binomial coefficient <code>C(n, r)<\/code> is given by:<\/p>\n<ul>\n<li>(a) <code>n! \/ (r! (n - r)!)<\/code><\/li>\n<li>(b) <code>r! \/ (n! (n - r)!)<\/code><\/li>\n<li>(c) <code>(n - r)! \/ (r! n!)<\/code><\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\"><strong>Answer: (a)<\/strong><\/p>\n<\/div>\n<div class=\"question\">\n<p>11. In the expansion of <code>(a + b)<sup>n<\/sup><\/code>, the coefficients are:<\/p>\n<ul>\n<li>(a) Symmetrical<\/li>\n<li>(b) Increasing<\/li>\n<li>(c) Decreasing<\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (a)<\/p>\n<\/div>\n<div class=\"question\">\n<p>12. The coefficient of <code>x<sup>0<\/sup><\/code> in the expansion of <code>(2x + 3)<sup>5<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 243<\/li>\n<li>(b) 81<\/li>\n<li>(c) 125<\/li>\n<li>(d) 1<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (a)<\/p>\n<\/div>\n<div class=\"question\">\n<p>13. The expansion of <code>(1 + x)<sup>n<\/sup><\/code> is valid when:<\/p>\n<ul>\n<li>(a) n is a natural number<\/li>\n<li>(b) n is a real number<\/li>\n<li>(c) x &gt; 1<\/li>\n<li>(d) x &lt; 1<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (a)<\/p>\n<\/div>\n<div class=\"question\">\n<p>14. If <code>n = 5<\/code>, the value of <code>C(n, 3)<\/code> is:<\/p>\n<ul>\n<li>(a) 10<\/li>\n<li>(b) 20<\/li>\n<li>(c) 15<\/li>\n<li>(d) 5<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (c)<\/p>\n<\/div>\n<div class=\"question\">\n<p>15. The constant term in the expansion of <code>(x<sup>2<\/sup> + 1\/x)<sup>5<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 10<\/li>\n<li>(b) 20<\/li>\n<li>(c) 30<\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (a)<\/p>\n<\/div>\n<div class=\"question\">\n<p>16. In the binomial expansion of <code>(a + b)<sup>n<\/sup><\/code>, if <code>n = 3<\/code>, the total number of terms is:<\/p>\n<ul>\n<li>(a) 3<\/li>\n<li>(b) 4<\/li>\n<li>(c) 5<\/li>\n<li>(d) 6<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (b)<\/p>\n<\/div>\n<div class=\"question\">\n<p>17. The coefficient of <code>x<sup>5<\/sup><\/code> in <code>(1 + x)<sup>10<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) 100<\/li>\n<li>(b) 252<\/li>\n<li>(c) 210<\/li>\n<li>(d) 120<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (b)<\/p>\n<\/div>\n<div class=\"question\">\n<p>18. The binomial expansion of <code>(x - 2)<sup>3<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) <code>x<sup>3<\/sup> - 6x<sup>2<\/sup> + 12x - 8<\/code><\/li>\n<li>(b) <code>x<sup>3<\/sup> + 6x<sup>2<\/sup> - 12x + 8<\/code><\/li>\n<li>(c) <code>x<sup>3<\/sup> - 6x<sup>2<\/sup> - 12x + 8<\/code><\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (a)<\/p>\n<\/div>\n<div class=\"question\">\n<p>19. The expansion of <code>(1 - x)<sup>n<\/sup><\/code> is valid for:<\/p>\n<ul>\n<li>(a) |x| &lt; 1<\/li>\n<li>(b) |x| &gt; 1<\/li>\n<li>(c) |x| = 1<\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (a)<\/p>\n<\/div>\n<div class=\"question\">\n<p>20. The middle term in the expansion of <code>(1 + x)<sup>8<\/sup><\/code> is:<\/p>\n<ul>\n<li>(a) T<sub>4<\/sub><\/li>\n<li>(b) T<sub>5<\/sub><\/li>\n<li>(c) T<sub>3<\/sub><\/li>\n<li>(d) None of these<\/li>\n<\/ul>\n<p class=\"answer\">Answer: (b)<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Class 11 Maths mcqs Chapter 8, Binomial Theorem, MCQs are provided here to help students score well in their 2024-25 [&hellip;]<\/p>\n","protected":false},"author":56,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Class 11 Maths","_yoast_wpseo_title":"Class 11 Maths Chapter 8 Binomial Theorem MCQ - Infinity Learn","_yoast_wpseo_metadesc":"Practice Class 11 Maths Chapter 8 MCQs on Binomial Theorem, designed for CBSE, ICSE, IGCSE, NCERT, and State Level Exams!","custom_permalink":"mcqs\/class-11-maths\/binomial-theorem\/"},"categories":[11038],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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