What is the number of non-zero terms in the expansion of `(1+2 sqrt(3)x)^(11) + (1 - 2 sqrt(3)x)^(11)` (after simplification)?A. 4B. 5C. 6D. 11

What is the number of non-zero terms in the expansion of `(1+2 sqrt(3)

1.	What is the number of non-zero terms in the expansion of `(1+2 sqrt(3)x)^(11) + (1 - 2 sqrt(3)x)^(11)` (after simplification)?A. 4B. 5C. 6D. 11
Answer» Correct Answer - C We know, in the expansion of `(x+y)^(n)+(x-y)^(n)`, of n = even, then number of non zero terms is `(n)/(2) + 1` n = odd, then number of non zero terms in `(n+1)/(2)`. Here, n = 11 which is odd. `therefore` number of non zero terms = `(11+1)/(2)=6`.

What is `C(n, r) + 2C(n, r - 1) + C(n, r - 2)` equal to?A. `C(n + 1, r)`B. `C(n -1, r + 1)`C. `C(n, r + 1)`D. `C(n + 2, r)`
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What is the number of non-zero terms in the expansion of `(1+2 sqrt(3)x)^(11) + (1 - 2 sqrt(3)x)^(11)` (after simplification)?A. 4B. 5C. 6D. 11
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