If the coefficient of \[{{x}^{7}}\] in \[{{\left( a{{x}^{2}}+\frac{1}{bx} \right)}^{11}}\] is equal to the coefficient of \[{{x}^{-7}}\]in \[{{\left( ax-\frac{1}{b{{x}^{2}}} \right)}^{11}}\], then ab = [MP PET 1999; AMU 2001; Pb. CET 2002; AIEEE 2005]

If the coefficient of \[{{x}^{7}}\] in \[{{\left( a{{x}^{2}}+\frac{1}{

1.	If the coefficient of \[{{x}^{7}}\] in \[{{\left( a{{x}^{2}}+\frac{1}{bx} \right)}^{11}}\] is equal to the coefficient of \[{{x}^{-7}}\]in \[{{\left( ax-\frac{1}{b{{x}^{2}}} \right)}^{11}}\], then ab = [MP PET 1999; AMU 2001; Pb. CET 2002; AIEEE 2005]
A.	1
B.	44228
C.	2
D.	3
Answer» B. 44228

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If the coefficient of \[{{x}^{7}}\] in \[{{\left( a{{x}^{2}}+\frac{1}{bx} \right)}^{11}}\] is equal to the coefficient of \[{{x}^{-7}}\]in \[{{\left( ax-\frac{1}{b{{x}^{2}}} \right)}^{11}}\], then ab = [MP PET 1999; AMU 2001; Pb. CET 2002; AIEEE 2005]

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