New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2023 · 6 Apr · Shift 2 · Q24

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

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2023 · 6 Apr · Shift 2 · Q24

Binomial Theorem question

2023 · 6 Apr · Shift 2 · Q24

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If the coefficient of

{x^7}

in

{\left( {a{x^2} + {1 \over {2bx}}} \right)^{11}}

and

{x^{ - 7}}

in

{\left( {ax - {1 \over {3b{x^2}}}} \right)^{11}}

are equal, then :

A
$243ab = 64$
B
$32ab = 729$
C
$64ab = 243$
D
$729ab = 32$

More from Binomial Theorem

Among the statements : (S1) : $202 3^{2022} - 199 9^{2022}$ is divisible by 8 (S2) : $13 (13)^{n} - 12 n - 13$ is divisible by 144 for infinitely many $n \in N$ 2023 · MCQ
Let $[t]$ denote the greatest integer $\leq t$ . If the constant term in the expansion of $(3 x^{2} - \frac{1}{2 x ^{5}})^{7}$ is $α$ , then $[α]$ is equal to .2023 · Numerical
The largest natural number $n$ such that $3^{n}$ divides $66!$ is .2023 · Numerical
$2 5^{190} - 1 9^{190} - 8^{190} + 2^{190}$ is divisible by :2023 · MCQ
The absolute difference of the coefficients of $x^{10}$ and $x^{7}$ in the expansion of $(2 x^{2} + \frac{1}{2 x})^{11}$ is equal to :2023 · MCQ
If the coefficient of $x^{7}$ in $(a x - \frac{1}{b x ^{2}})^{13}$ and the coefficient of $x^{- 5}$ in $(a x + \frac{1}{b x ^{2}})^{13}$ are equal, then $a^{4} b^{4}$ is equal to :2023 · MCQ
The coefficient of $x^{7}$ in $(1 - x + 2 x^{3})^{10}$ is .2023 · Numerical
Let the number $(22)^{2022} + (2022)^{22}$ leave the remainder $α$ when divided by 3 and $β$ when divided by 7. Then $(α^{2} + β^{2})$ is equal to :2023 · MCQ