HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

Find two numbers whose A.M. exceeds their G.M. by `1/2` and their H.M. by `25/26`

The tenth term of H.P. `2/9, 1/7, 2/19, 1/12, ...` is:

Select the correct answer from the given alternative.

The G.M.of two numbers exceeds their H.M. by `6/5`, the A.M. exceeds G.M. by `3/2` the two numbers are ...

Find the middle term in the expansion of `(x/y + y/x)^12`

Find the middle terms in the expansion of `(x^2 + 1/x)^7`

Find the middle term in the expansion of `(x^2 - 2/x)^8`

Find the middle term in the expansion of `(x/"a" - "a"/x)^10`

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

Select the correct answer from the given alternatives.

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

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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)]`