NCERT MOST IMPORTANT QUESTIONS CLASS – 11 | MATHS IMPORTANT QUESTIONS | CHAPTER – 8 | BINOMINAL THEOREM | EDUGROWN |

In This Post we are  providing Chapter-8 BINOMINAL THEOREM NCERT MOST IMPORTANT QUESTIONS for Class 11 MATHS which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MOST IMPORTANT QUESTIONS ON BINOMINAL THEOREM

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1. Find Hence evaluate 

Ans.

Put 

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2. Show that is divisible by 64, whenever n is positive integer.

Ans. 

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3. Find the general term in the expansion of  

Ans. 

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4. In the expansion of prove that coefficients of and are equal.

Ans. 

Put  and  respectively

Coeff of is 

Coeff of is H.P

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5. Expand 

Ans. 

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6. Find the sixth term of the expansion if the binomial coefficient of the third term from the end is 45.

Ans. The binomial coeff of the third term from end = binomial coeff of the third term from beginning = 

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7. Find a if the 17th and 18th terms of the expansion are equal.

Ans. 

ATQ put  and 17

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8. Find the term independent of in the expansion of 

Ans. 

Put 

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9. If the coeff of and terms in the expansion of are equal find 

Ans.

Coeff are

and 

ATQ 

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10. Show that the coeff of the middle term in the expansion of is equal to the sum of the coeff of two middle terms in the expansion of 

Ans. As is even so the expansion has only one middle term which is  term

Coeff of is 

Similarly being odd the other expansion has two middle term i.e

and term

 i.e and 

The coeff are  and 

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11. Find the value of if the coeff of and terms in the expansion of  are equal.

Ans. 

Put 

And 

ATQ 

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12. Find the 13th term in the expansion of 

Ans. 

Put 

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13.Find , if the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of is 

Ans.Fifth term from the beginning in the expansion of is

How fifth term from the end would be equal to in term from the beginning

ATQ 

14. The sum of the coeff. 0f the first three terms in the expansion of being natural no. is 559. Find the term of expansion containing 

Ans.The coeff. Of the first three terms of are and 

Therefore, by the given condition

On solving we get 

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15.Show that the middle term in the expansion of is 

Ans.As is even, the middle term of the expansion term

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