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Binomial Theore...

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  • Question 1
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    The cooeficient of $${ x }^{ n }$$ in the expension of $$\left( 1-2x \right) ^{ -1/2 }$$

  • Question 2
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    The coefficient of $${ x }^{ 1 }$$ in the expansion of $$\left( 1-2x \right) ^{ -1/2 }$$ is 

  • Question 3
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    In the expansion of $$ \left(1+3 x+2 x^{2}\right)^{6}  $$ the coefficient of $$  x^{11}  $$ is

  • Question 4
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    The value of $$  x,  $$ for which the $$6 th$$ term in the expansion of $$ \int 2^{\log 2 \sqrt{\left(9^{x-1}+7\right)}}+\frac{1}{_{0}^{(1 / 5) \log _{2}\left(3^{x-1}+1\right)}} )^{7}  $$ is 84 is equal to

  • Question 5
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    The fifth term of $$\left(1 - \dfrac{2x}{3}\right)^{3/4}$$ is

  • Question 6
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    If the middle term in the expansion of $${ \left( { x }^{ 2 }+\dfrac { 1 }{ x }  \right)  }^{ n }$$ is $$924{ x }^{ 6 }$$ then n=

  • Question 7
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    The coefficient of $$  x^{11}  $$ in the expansion of $$ \left(2 x^{2}+x-3\right)^{6}  $$ is 

  • Question 8
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    Coefficient of the middle term in the expansion of the binormial $$\left( 1+x \right) ^{ 40 }$$ is equal to  

  • Question 9
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    The coefficient of $${ t }^{ 50 }$$ in $$\left( 1+t \right) ^{ 41 }\left( 1-t+{ t }^{ 2 } \right) ^{ 40 }$$ is equal to

  • Question 10
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    If the coefficients of second, third and fourth terms in the expansion of $$ ( 1 + x ) ^ { n } $$ are in A.P.then the value of $$ n $$ is:

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