6. Find the expansion of ((3x^2-2ax+3a^2 )^3) using binomial theorem. Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is…
5. Expand using Binomial Theorem ((1+frac{x}{2}-frac{2}{x})^4), x≠0. Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer.…
4. Find an approximation of ((0.99)^5) using the first three terms of its expansion. Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of…
3. Find the value of ((a^2+sqrt{a^2-1})^4+(a^2-sqrt{a^2-1})^4). Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer. 2.…
2. Evaluate ((sqrt{3}+sqrt{2})^6-(sqrt{3}-sqrt{2})^6). Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer. 2. Evaluate ((sqrt{3}+sqrt{2})^6-(sqrt{3}-sqrt{2})^6). 3.…
1. If a and b are distinct integers, prove that (a-b) is a factor of (a^n-b^n), whenever n is a positive integer. Binomial Theorem Miscellaneous Exercise Previous Next Class 11 Binomial Theorem Miscellaneous Exercise 1. If a and b are distinct…
11. In how many ways can the letters of the word ASSASSINATION be arranged so that all the S’s are together ? Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and Combinations Miscellaneous Exercise 1. How many words, with…
10. From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can…
9. It is required to seat 5 men and 4 women in a row so that the women occupy the even places. How many such arrangements are possible ? Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and…
8. Determine the number of 5-card combinations out of a deck of 52 cards if each selection of 5 cards has exactly one king. Permutations and Combinations Miscellaneous Exercise Previous Next Class 11 Permutations and Combinations Miscellaneous Exercise 1. How many…
