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Class XI Maths Binomial Theorem 3
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Question 1
If the coefficient of x7 in 
equals the coefficient of x-7 in
, then a and b satisfy the relation
Question 2
If a variable takes the value 0, 1, 2......n with frequencies proportional to the binomial coefficients nC0, nC1,.....,nCn then the mean of the distribution is
Question 3
If 
, then value of 
is
, then value of isQuestion 4
Directions: Assertion–Reason type questions. Each of these questions contains two statements: statement–1 (Assertion) and Statement–2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.
Statement–1:
nCr = (n + 2) 2n–1
Statement–2:
nCr xr = (1 + x)n + nx (1 + x)n–1
nCr = (n + 2) 2n–1 Statement–2:
nCr xr = (1 + x)n + nx (1 + x)n–1 Question 5
Let n be an odd natural number greater than 1. Then the number of zeros at the end of the sum 99n + 1 is-
Question 6
If (1 + x+ 2x2)20 = a0 + a1x + a2x2 +......+ a40x40, then a1 + a3 + a5 +.......+ a37 equals -
Question 7
The sum of the coefficients of all the integral powers of x in the expansion of (1+2
)40 is-
Question 8
Let n ∈N and n < (√2 + 1)6. Then the greatest value of n is -
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Jan 25JEE & BITSAT
