HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions

In the expansion of (k + x)⁸, the coefficient of x⁵ is 10 times the coefficient of x⁶. Find the value of k.

Find the term containing x⁶ in the expansion of (2 − x) (3x + 1)⁹

The coefficient of x² in the expansion of (1 + 2x)^m is 112. Find m

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The total number of terms in the expression of (x + y)¹⁰⁰ + (x − y)¹⁰⁰ after simplification is:

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In the expansion of (x² − 2x)¹⁰, the coefficient of x¹⁶ is

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The term not containing x in expansion of `(1 - x)^2 (x + 1/x)^10` is 

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The number of terms in expansion of (4y + x)⁸ − (4y − x)⁸ 

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Find third term in the expansion of `(9x^2 - y^3/6)^4`

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Find tenth term in the expansion of `(2x^2 + 1/x)^12`

Find the coefficients of x⁶ in the expansion of `(3x^2 - 1/(3x))^9`.

Find the coefficients of x⁶⁰ in the expansion of `(1/x^2 + x^4)^18`

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Find the constant term in the expansion of `((4x^2)/3 + 3/(2x))^9`

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Find the constant term in the expansion of `(2x^2 - 1/x)^12`

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If the coefficient of x² and x³ in the expansion of (3 + kx)⁹ are equal, find k

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If the constant term in the expansion of `(x^3 + "k"/x^8)^11` is 1320, find k

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Show that there is no term containing x⁶ in the expansion of `(x^2 - 3/x)^11`

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Show that there is no constant term in the expansion of `(2x - x^2/4)^9`

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State, first four terms in the expansion of `(1 - (2x)/3)^(-1/2)`

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State, first four terms in the expansion of `(1 - x)^(-1/4)`

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State, first three terms in the expansion of `(5 + 4x) ^(-1/2)`