New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Binomial Theorem question

2007 · Shift 0 · Q59

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

PYQ Library
JEE Main
Mathematics
Binomial Theorem
2007 · Shift 0 · Q59

Binomial Theorem question

2007 · Shift 0 · Q59

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

In the binomial expansion of

{\left( {a - b} \right)^n},\,\,\,n \ge 5,

the sum of

{5^{th}}

and

{6^{th}}

terms is zero, then

a/b

equals

A
${{n - 5} \over 6}$
B
${{n - 4} \over 5}$
C
${5 \over {n - 4}}$
D
${6 \over {n - 5}}$

More from Binomial Theorem

If the expansion in powers of $x$ of the function $\frac{1}{( 1 - a x ) ( 1 - b x )}$ is $a_{0} + a_{1} x + a_{2} x^{2} + a_{3} x^{3} .....$ then $a_{n}$ is2006 · MCQ
If $x$ is so small that $x^{3}$ and higher powers of $x$ may be neglected, then $\frac{( 1 + x ) ^{\frac{3}{2}} - ( 1 + \frac{1}{2} x ) ^{3}}{( 1 - x ) ^{\frac{1}{2}}}$ may be approximated…2005 · MCQ
If the coefficients of rth, (r+1)th, and (r + 2)th terms in the binomial expansion of $(1 + y)^{m}$ are in A.P., then m and r satisfy the equation2005 · MCQ
If the coefficient of $x^{7}$ in $[a x^{2} + (\frac{1}{b x})]^{11}$ equals the coefficient of $x^{- 7}$ in $[a x - (\frac{1}{b x ^{2}})]^{11}$ , then $a$ and $b$ satisfy…2005 · MCQ
The coefficient of the middle term in the binomial expansion in powers of $x$ of $(1 + α x)^{4}$ and $(1 - α x)^{6}$ is the same if $α$ equals2004 · MCQ
The coefficient of $x^{n}$ in expansion of $(1 + x) (1 - x)^{n}$ is2004 · MCQ
If $x$ is positive, the first negative term in the expansion of $(1 + x)^{27/5}$ is2003 · MCQ
The number of integral terms in the expansion of $(3 + 85)^{256}$ is2003 · MCQ