Coefficients of any power of x-MCQ-Basic Level

Compared to other sections, Mathematics is considered to be the most practice demanding subject. If praticed regularly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1. If the coefficients of pth, (p+1)th and (p+2)th terms in the expansion of (1+x)n are in A.P., then

•  n2-2np+4p2=0
•  n2-n(4p+1)+4p2-2=0
•  n2-n(4p+1)+4p2=0
•  None of these

Q2. The coefficient of two consecutive terms in the expansion of (1+x)n will be equal, if

•  n is any integer
•  n is an odd integer
•  n is an even integer
•  None of these

Q3. In the expansion of ((a/x)+bx)12, the coefficient of x-10 will be

•  12a11
•  12b11a
•  12a11b
•  12a11b11

Q4. If the ratio of the coefficient of third and fourth term in the expansion of (x-(1/2x))n is 1 : 2, then the value of n will be

•  18
•  16
•  12
•  -10

Q5. In the expansion of (x3+(1/x2))8, the term containing x4 is

•  70x4
•  60x4
•  56x4
•  None of these

Q6. If the coefficients of rth term and (r+4)th term are equal in the expansion of (1+x)20, then the value of r will be

•  7
•  8
•  9
•  10

Q7. In the expansion of (y2+(c/y))5, the coefficient of y will be

•  20c
•  10c
•  10c3
•  20c2

Q8. If p and q be positive, then the coefficients of xp and xq in the expansion of (1+x)p+q will be

•  Equal
•  Equal in magnitude but opposite in sign
•  Reciprocal to each other
•  None of these

Q9. If the coefficients of 5th , 6th and 7th terms in the expansion of (1+x)n be in A.P., then n =

•  7 only
•  14 only
•  7 or 14
•  None of these

Q10. Two consecutive terms in the expansion of (3+2x)74 whose coefficients are equal, are

•  29th and 30th
•  30th and 31st
•  31st and 32nd
•  None of these

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