Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions tagged exemplar

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

asked Jun 25, 2014 by sreemathi.v

1 answer

The largest coefficient in the expansion of $(1+x)^{30}$ is __________

asked Jun 25, 2014 by sreemathi.v

1 answer

If the middle term of $(\large\frac{1}{x}$$+x\sin x)^{10}$ is equal to $7\large\frac{7}{8}$ then value of $x$ is

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

The total number of terms in the expansion of $(x+a)^{100}+(x-a)^{100}$ after simplification is

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the term independent of $x$ in the expansion of $(1+x+2x^3)(\large\frac{3}{2}$$x^2-\large\frac{1}{3x})^9$

asked Jun 24, 2014 by sreemathi.v

1 answer

If $x^p$ occurs in the expansion of $(x^2+\large\frac{1}{x})^{2n}$.Prove that its coefficient is $\large\frac{2n!}{\Large\frac{4n-p}{3}!\frac{2n+p}{3}!}$

asked Jun 24, 2014 by sreemathi.v

1 answer

In the expansion of $(x+a)^n$ if the sum of odd terms is denoted by O and the sum of even term by E.Then prove that (ii) $4OE=(x+a)^{2n}-(x-a)^{2n}$

asked Jun 24, 2014 by sreemathi.v

1 answer

In the expansion of $(x+a)^n$ if the sum of odd terms is denoted by O and the sum of even term by E.Then prove that (i) $O^2-E^2=(x^2-a^2)^n$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find $n$ in the binomial $\big[\sqrt[3]{2} +\large\frac{1}{\sqrt[3]{3}} \big]^n$ if the ratio of $7^{th}$ term from the beginning to the $7^{th}$ term from the end is $\large\frac{1}{6}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Show that the middle term in the expansion of $(x-\large\frac{1}{x})^{2n}$ is $\large\frac{1\times 3\times 5\times..... (2n-1)}{n!}$$\times (-2)^n$

asked Jun 24, 2014 by sreemathi.v

1 answer

If $p$ is a real number and if the middle term in the expansion of $(\large\frac{p}{2}$$+2)^8$ is 1120.Find $p$

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 coefficient of $\large\frac{1}{x^{17}}$ in the expansion of $(x^4-\large\frac{1}{x^3})^{15}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the coefficient of $x^{15}$ in the expression of $(x-x^2)^{10}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the middle term in the expansion of $(3x-\large\frac{x^3}{6})^9$

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the middle term in the expansion of $(\large\frac{x}{a}-\frac{a}{x})^{10}$

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

If the term free from $x$ in the expansion of $(\sqrt x-\large\frac{k}{x^2})^{10}$ is $405$,find the value of $k$.

asked Jun 24, 2014 by sreemathi.v

1 answer

Find the term independent of $x,x\neq 0$ in the expansion of $\big(\large\frac{3x^2}{2}-\frac{1}{3x})^{15}$

asked Jun 24, 2014 by sreemathi.v

1 answer

Show that $\tan({\frac{1}{2}}\sin^{-1}{\frac{3}{4}})=\frac{4-\sqrt 7}{3}$

asked Jun 12, 2014 by balaji.thirumalai

1 answer

If $2\tan^{-1}(\cos x)=\tan^{-1}(2cosecx)$,then show that $x=\Large {\frac{\pi}{4}}$

asked Jun 12, 2014 by balaji.thirumalai

1 answer

In the following match each item given under the column $C_1$ to its correct answer given under the column $C_2$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan(\pi \cos \theta)=\cot (\pi \sin \theta)$,then $\cos(\theta-\large\frac{\pi}{4})$$=\pm \large\frac{1}{2\sqrt 2}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan \theta+\tan 2\theta+\sqrt 3\tan \theta\tan 2\theta=\sqrt 3$ then $\theta=\large\frac{n\pi}{3}+\frac{\pi}{9}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $cosec x=1+\cot x$ then $x=2n\pi,2n\pi+\large\frac{\pi}{2}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :One value of $\theta$ which satisfies the equation $\sin ^4\theta-2\sin ^2\theta-1$ lies between 0 and $2\pi$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :$\cos \large\frac{2\pi}{15}$$\cos \large\frac{4\pi}{15}$$\cos \large\frac{8\pi}{15}$$\cos \large\frac{16\pi}{15}=\frac{1}{16}$

asked May 20, 2014 by sreemathi.v

0 answers

True-or-False :$\sin 10^{\large\circ}$ is greater than $\cos 10^{\large\circ}$

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :The equality $\sin A+\sin 2A+\sin 3A=3$ holds for some real value of A

asked May 20, 2014 by sreemathi.v

1 answer

True-or-False :If $\tan A=\large\frac{1-\cos B}{\sin B}$ then $\tan 2A=\tan B$

asked May 20, 2014 by sreemathi.v

1 answer

The maximum distance of a point on the graph of the function $y=\sqrt 3\sin x+\cos x$ from $x$-axis is ________

asked May 20, 2014 by sreemathi.v

1 answer

Given $x > 0$,the value of $f(x)=-3\cos \sqrt{3+x+x^2}$ lie in the interval _________

asked May 20, 2014 by sreemathi.v

1 answer

$3(\sin x-\cos x)^4+6(\sin x+\cos x)^2+4(\sin ^6x+\cos ^6x)$=_______

asked May 20, 2014 by sreemathi.v

1 answer

In a triangle ABC with $\angle C=90^{\large\circ}$ the equation whose roots are $\tan A$ and $\tan B$ is ___________

asked May 20, 2014 by sreemathi.v

1 answer

Which of the following is correct?

asked May 20, 2014 by sreemathi.v

1 answer

Which of the following is not correct ?

asked May 20, 2014 by sreemathi.v

1 answer

Find the general solution of the equation $(\sqrt 3+1)\cos \theta+(\sqrt 3-1)\sin \theta=2$

asked May 20, 2014 by sreemathi.v

1 answer

Prove that $\cos \theta \cos\large\frac{\theta}{2}-$$\cos 3\theta\cos \large\frac{9\theta}{2}=$$\sin 7\theta\sin 8\theta$

asked May 20, 2014 by sreemathi.v

1 answer

How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if (c) All letters are used but the first is a vowel

asked May 19, 2014 by sreemathi.v

1 answer

How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if All letters are used at a time

asked May 19, 2014 by sreemathi.v

1 answer

How many words can be made from the letters of the word MONDAY assuming that no letter is repeated if 4 letters are used at a time

asked May 19, 2014 by sreemathi.v

1 answer

Page:

« prev
1
...
15
16
17
18
19
20
21
...
42
next »

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...