Recent questions tagged sec-b

The number of terms in the expansion of $(a+b+c)^{10}$ is

asked Jun 26, 2014 by sreemathi.v

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Find the mean deviation about the mean for data :

asked Jun 26, 2014 by meena.p

1 answer

$49^n+16n-1$ is divisible by

asked Jun 26, 2014 by sreemathi.v

1 answer

If the sum of the coefficients in the expansion of $(x+y)^n$ is $1024$,then the value of the greatest coefficient in the expansion is

asked Jun 26, 2014 by sreemathi.v

1 answer

If the coefficients of $x^2$ and $x^3$ in the expansion of $(3+kx)^9$ are equal then the value of $k$ is

asked Jun 26, 2014 by sreemathi.v

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If the expansion of $(x^2+\large\frac{2}{x})^n$ for positive integer n has $13^{th}$ term independent of $x$ then n is

asked Jun 26, 2014 by sreemathi.v

1 answer

If the $r^{th}$ term in the expansion of $(\large\frac{x}{3}-\frac{2}{x^2})^{10}$ contains $x^4$ then $r$ is equal to

asked Jun 26, 2014 by sreemathi.v

1 answer

If the sum of coefficients in the expansion of $(a+b)^n$ is $4096$ then the greatest coefficient in the expansion is

asked Jun 26, 2014 by sreemathi.v

1 answer

Find the mean deviation about the mean for data :

asked Jun 26, 2014 by meena.p

1 answer

Coefficient of $x^6$ in the expansion $(x+\large\frac{1}{x^2})^6$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

The least (positive) remainder when $17^{30}$ is divided by $5$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

The coefficient of $r^{th}$ and $(r+1)^{th}$ terms in the expansion of $(1+x)^{20}$ are in the ratio 1 : 2 then $r=$

asked Jun 26, 2014 by sreemathi.v

1 answer

The coefficient of $x^{17}$ in the expansion of $(x-1)(x-2)\times (x-3)$.......$(x-18)$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

The digit at units place in the number $17^{1995}+11^{1995}-7^{1995}$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

If the second ,third and fourth term in the expansion of $(x+a)^n$ and $240,720$ and $1080$ respectively,then the value of $n$ is

asked Jun 26, 2014 by sreemathi.v

1 answer

Find the mean deviation about the mean for data : $x_i :5,7,9,10,12,15 \qquad f_i : 8,6,2,2,2,6$

asked Jun 25, 2014 by meena.p

1 answer

If there is a term containing $x^{2r}$ in $(x+\large\frac{1}{x^2})^{n-3}$ then

asked Jun 25, 2014 by sreemathi.v

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Find the mean deviation about the mean for data : $x_i :10,30,50,70,90 \qquad f_i : 4,24,28,16,8$

asked Jun 25, 2014 by meena.p

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Find the mean deviation about the mean for data : $x_i :5,10,15,20,25 \qquad f_i : 7,4,6,3,5$

asked Jun 25, 2014 by meena.p

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If the $6^{th}$ term in the expansion of $\big(\large\frac{1}{x^{8/3}}+$$x^2\log _{10} x\big)^{8}$ is 5600 then the value of $x$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

The coefficient of the third term in the expansion of $(x^2-\large\frac{1}{4})^n$,when expanded in descending powers of $x$ is $31$.Then n is equal to

asked Jun 25, 2014 by sreemathi.v

1 answer

The co-efficient of $x$ in the expansion of $(x^2+\large\frac{\lambda}{x})^2$ is

asked Jun 25, 2014 by sreemathi.v

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The power of x occuring in the $7^{th}$ term in the expansion of $\big(\large\frac{4x}{5}-\frac{8}{5x}\big)^9$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

The value of $13C_2+13C_3+13C_4+....13C_{13}$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

$(\sqrt 3+1)^4+(\sqrt 3-1)^4$ is equal to

asked Jun 25, 2014 by sreemathi.v

1 answer

The middle term in the expansion of $\big(x+\large\frac{1}{x}\big)^{10}$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

If $25^{15}$ is divided by 13 the remainder is ___________

asked Jun 25, 2014 by sreemathi.v

1 answer

The position of the term independent of $x$ in the expansion of $\big(\sqrt{\large\frac{x}{3}}+\large\frac{3}{2x^2}\big)^{10}$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

Middle term in the expansion of $(a^3+ba)^{28}$ is ______

asked Jun 25, 2014 by sreemathi.v

1 answer

The coefficient of $a^{-6}b^4$ in the expansion of $\big(\large\frac{1}{a}-\frac{2b}{3}\big)^{10}$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

If the seventh terms from the beginning and the end in the expansion of $\big(\sqrt[3]{2} +\large\frac{1}{\sqrt[3]{3}} \big)^n$ are equal then n equals _____

asked Jun 25, 2014 by sreemathi.v

1 answer

In the expansion of $(x^2-\large\frac{1}{x^2})^{16}$ the value of the constant term is ________

asked Jun 25, 2014 by sreemathi.v

1 answer

The number of terms in the expansion of $(x+y+z)^n$ ________

asked Jun 25, 2014 by sreemathi.v

1 answer

If $A$ and $B$ are coefficient of $x^n$ in the expansion of $(1+x)^{2n}$ and $(1+x)^{2n-1}$ respectively then $A/B$ equals

asked Jun 25, 2014 by sreemathi.v

1 answer

If the coefficient of $2^{nd},3^{rd}$ and $4^{th}$ terms in the expansion of $(1+x)^n$ are in $A.P$ then the value of $n$ is

asked Jun 25, 2014 by sreemathi.v

1 answer

The coefficient of $x^n$ in the expansion of $(1+x)^{2n}$ and $(1+x)^{2n-1}$ are in the ratio

asked Jun 25, 2014 by sreemathi.v

1 answer

The two successive terms in the expansion of $(1+x)^{24}$ whose coefficients are in the ratio $ 1 : 4$ are

asked Jun 24, 2014 by sreemathi.v

1 answer

Given the integers $r > 1,n > 2$ and coefficients of $(3r)^{th}$ and $(r+2)^{nd}$ terms in the binomial expansion of $(1+x)^{2n}$ are equal then

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the coefficient of $x^4$ in the expansion of $(1+x+x^2+x^3)^{11}$

asked Jun 24, 2014 by sreemathi.v

1 answer

If the coefficient of second,third and fourth terms in the expansion of $(1+x)^{2n}$ are in A.P.Show that $2n^2-9n+7=0$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the value of r if the coefficient of $(2r+4)^{th}$ and $(r-2)^{th}$ terms in the expansion of $(1+x)^{18}$ are equal.

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the sixth term of the expansion $(y^{\Large\frac{1}{2}}+x^{\Large\frac{1}{3}})^n$.If the binomial coefficient of the third term from the end is 45.

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the term independent of $x$ in the expansion of $(3x-\large\frac{2}{x^2})^{15}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the coefficient of $x$ in the expansion of $(1-3x+7x^2)(1-x)^{16}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the expansion of $(3x^2-2ax+3a^2)^3$ using Binomial theorem

asked Jun 24, 2014 by sreemathi.v

1 answer

Find an approximation of $(0.99)^5$ using the first three terms of its expansion.

asked Jun 24, 2014 by sreemathi.v

1 answer

Evaluate $(\sqrt 3+2)^6-(\sqrt 3-\sqrt 2)^6$

asked Jun 24, 2014 by sreemathi.v

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If $a$ and $b$ are distinct integers,prove that $a-b$ is a factor of $a^n-b^n$,whenever $n$ is a positive integer.

asked Jun 23, 2014 by sreemathi.v

1 answer

Find a positive value of m for which the coefficient of $x^2$ in the expansion of $(1+x)^m$ is $6$

asked Jun 23, 2014 by sreemathi.v

1 answer

In the expansion of $(1+a)^{m+n}$,prove that coefficient of $a^m$ and $a^n$ are equal.

asked Jun 23, 2014 by sreemathi.v

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