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Question

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 :

$243ab = 64$
$32ab = 729$
$64ab = 243$
$729ab = 32$

Solution

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