HSC Arts (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions

Find the middle terms in the expansion of `(x^4 - 1/x^3)^11`

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The middle term in the expansion of (1 + x)²ⁿ will be :

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In the expansion of (3x + 2)⁴, the coefficient of the middle term is

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The coefficient of the 8^th term in the expansion of (1 + x)¹⁰ is:

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If the coefficient of x² and x³ in the expansion of (3 + ax)⁹ are the same, then the value of a is

Answer the following:

Find the middle term (s) in the expansion of `((2"a")/3 - 3/(2"a"))^6`

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Find the middle term (s) in the expansion of `(x - 1/(2y))^10`

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Find the middle term (s) in the expansion of (x²+ 2y²)⁷ 

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Find the middle term (s) in the expansion of `((3x^2)/2 - 1/(3x))^9`

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If the middle term in the expansion of `(x + "b"/x)^6` is 160, find b

Evaluate the following limit :

`lim_(theta -> 0) [(sin("m"theta))/(tan("n"theta))]`

Evaluate the following limit :

`lim_(theta -> 0) [(1 - cos2theta)/theta^2]`

Evaluate the following limit :

`lim_(x -> 0) [(x*tanx)/(1 - cosx)]`

Evaluate the following limit :

`lim_(x ->0)((secx - 1)/x^2)`

Evaluate the following limit :

`lim_(x -> 0)[(1 - cos("n"x))/(1 - cos("m"x))]`

Evaluate the following limit :

`lim_(x -> pi/6) [(2 - "cosec"x)/(cot^2x - 3)]`

Evaluate the following limit :

`lim_(x -> pi/4) [(cosx - sinx)/(cos2x)]`

Evaluate the following limit :

`lim_(x -> 0) [(cos("a"x) - cos("b"x))/(cos("c"x) - 1)]`

Evaluate the following limit :

`lim_(x -> pi) [(sqrt(1 - cosx) - sqrt(2))/(sin^2 x)]`

Evaluate the following limit :

`lim_(x -> pi/4) [(tan^2x - cot^2x)/(secx - "cosec"x)]`