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Class XI Maths Binomial Theorem 1

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Question 1

The interval in which x(>0) must lie so that the greatest term in the expansion of (1+x)2n has the greatest coefficient is

Question 2

The interval in which x(>0) must lie so that the greatest term in the expansion of (1+x)2n has the greatest coefficient is

Question 3

If the coefficients of rth, (r+ 1)th and (r + 2)th terms in the binomial expansion of (1 + y)m are in A.P., then m and r satisfy the equation

Question 4

If x is positive, the first negative term in the expansion of (1 + x)27/5 is

Question 5

If x is so small that x3 and higher powers of x may be neglected, then may be approximated as

Question 6

If n is a positive integer, then is

Question 7

The coefficient of the middle term in the binomial expansion in powers of x of and of is the same if α equals

Question 8

The coefficient of x(n–2) in the polynomial (x – 1) (x – 2) (x – 3) ...(x – n) is-

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