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Binomial Theorem question

2005 · Shift 0 · Q99

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2005 · Shift 0 · Q99

Binomial Theorem question

2005 · Shift 0 · Q99

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

If the coefficient of

{x^7}

in

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

equals the coefficient of

{x^{ - 7}}

in

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

, then

a

and

b

satisfy the relation

A
$a - b = 1$
B
$a + b = 1$
C
${a \over b} = 1$
D
$ab = 1$

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