Binomial Theorem Quiz 4

Binomial Theorem is one of the most important chapters of Algebra in the JEE syllabus and other engineering exams. For JEE Mains, it has 4% weightage and for JEE Advanced, it has 2.42% weightage..

Q1. The number of real negative terms in the binomial expansion of (1 + ix)4n-2, n ∈ N,x > 0 is
•  n
•  n + 1
•  n - 1
•  2n
Solution
Q3.
•  xn
•  x-n
•
•  None of these
Solution
Q3.
•
•
•
•
Solution
Q4. The sum of series 20C0 - 20C1 + 20C2 - 20C3 + ... + 20C10 is
•
•  0
•  20C10
•  -20C10
Solution
Q5. The coefficient of xr[0≤r≤(n-1)] in the expansion of (x + 3)n-1 + (x + 3)n-2(x + 2) + (x + 3)n-3(x + 2)2 + ... + (x + 2)n-1 are
•  nCr(3r - 2n)
•  nCr(3n-r - 2n-r)
•  nCr(3r - 2n-r)
•  None of these
Solution
Q6.
•  32010
•  1
•  22010
•  None of these
Solution
Q5. (n + 2)nC02n+1 - (n + 1)nC12n + nnC22n-1 - ... is equal to
•  4
•  4n
•  4(n + 1)
•  2(n + 2)
Solution
Q8.

•  100c47
•  100c53
•  -100c53
•  -100c100
Solution
Q9. The fractional part of 24n/15 is (n ∈ N)
•  1/15
•  2/15
•  4/15
•  None of these
Solution
Q9. If (1 + 2X + 3x2)10 = a0 + a1x + a2x2 + ... + a20x20, then a1 equals
• 10
• 20
• 210
• None of these
Solution

Written by: AUTHORNAME

AUTHORDESCRIPTION

Want to know more

Please fill in the details below:

Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Binomial Theorem-Quiz-4
Binomial Theorem-Quiz-4