CBSE Guess > Papers > Important Questions > Class XI > 2010 > Maths > Maths By Mr. Anil Kumar Tondak
CBSE CLASS XI
**Binomial Theorem**
**Q.1. **Find . Hence, Evaluate .
**Q.2.** Show that 9n+1 – 8n -9 is divisible by 64.
**Q.3. **Find a if the 17th and 18th terms of the expansion of (2 + a)50 are equal.
**Q.4. **Find the middle term in the expansion of (1 + x)2n, where n is a positive integer.
**Q. 5. ** Find a positive value of m for which the coefficient of x2 in the expansion of (1 + x )m is 6.
Q.6. Find the middle terms in the expansions of .
**Q.7.** Find the term independent of x in the expansion of
**Q.8.** Find the coefficient of in the product (1 + 2x)6 (1 – x)7 using binomial theorem.
**Q.9.** Find the rth term from the end in the expansion of (x + a)n.
**Q.10. **Find the expansion of using binomial theorem.
**Q.11.** In the expansion of (1+a)m+n, prove that coefficients of am and an are equal.
**Q.12.** The second, third and fourth terms in the binomial expansion of (x + a)n are 240, 720 and 1080 respectively. Find x, a and n.
**Q.13.** If the coefficients of in the expansion of the *(1 + a)n* are in arithmetic progression, prove that *n2 - n(4r +1) + 4 r2 – 2 = 0.*
**Q.14. **The coefficients of the (r – 1)th , rth and (r + 1)th terms in the expansions of (x +1)n are in the ratio of 1 : 3 : 5. Find n and r.
**Q.15.** Find n if the ratio of the 5 th term from the beginning to the 5 th term from the end
in the expansion of .
**Q.16.** Evaluate :
.
**Q.17.** Find the value of *a *so that the term independent of *x *in the expansion of
**Q.18.** Find the 11th term from the end in the expansion of
Paper By Mr. Anil Kumar Tondak
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Ph No.: 9811363962 |