New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2024 · 4 Apr · Shift 2 · Q32

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2024 · 4 Apr · Shift 2 · Q32

Binomial Theorem question

2024 · 4 Apr · Shift 2 · Q32

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If the coefficients of

x^4, x^5

and

x^6

in the expansion of

(1+x)^n

are in the arithmetic progression, then the maximum value of

n

is:

A
28
B
21
C
7
D
14

More from Binomial Theorem

If the constant term in the expansion of $(1 + 2 x - 3 x^{3}) (\frac{3}{2} x^{2} - \frac{1}{3 x})^{9}$ is , then $108 p$ is equal to .2024 · Numerical
If the constant term in the expansion of $(\frac{5 3}{x} + \frac{2 x}{3 5})^{12}, x e q 0$ , is $α \times 2^{8} \times 53$ , then $25 α$ is equal to :2024 · MCQ
If the second, third and fourth terms in the expansion of $(x + y)^{n}$ are 135, 30 and $\frac{10}{3}$ , respectively, then $6 (n^{3} + x^{2} + y)$ is equal to .2024 · Numerical
If the term independent of $x$ in the expansion of $(a x^{2} + \frac{1}{2 x ^{3}})^{10}$ is 105 , then $a^{2}$ is equal to :2024 · MCQ
The coefficient of $x^{70}$ in $x^{2} (1 + x)^{98} + x^{3} (1 + x)^{97} + x^{4} (1 + x)^{96} + \dots + x^{54} (1 + x)^{46}$ is $^{99} C_{p} -^{46} C_{q}$ . Then a possible value of $p + q$ is :2024 · MCQ
The remainder when $42 8^{2024}$ is divided by 21 is .2024 · Numerical
The sum of the coefficient of $x^{2/3}$ and $x^{- 2/5}$ in the binomial expansion of $(x^{2/3} + \frac{1}{2} x^{- 2/5})^{9}$ is2024 · MCQ
$^{n - 1} C_{r} = (k^{2} - 8)^{n} C_{r + 1}$ if and only if :2024 · MCQ