Recent questions in Mathematics

If $x+|y|=2y$ , then $y$ as a function of x is

asked Jan 3, 2014 by sreemathi.v

1 answer

Which term of the series $\frac{16}{9}$ , $\frac{4}{3}$ , $1$ , $\frac{3}{4}$ ------is $\frac{243}{1024}$

asked Jan 3, 2014 by yamini.v

1 answer

A and B throw a die. The probability that A's throw is not greater than B's is :

asked Jan 3, 2014 by thanvigandhi_1

1 answer

The angles of a quadrilateral are in AP whose common difference is $10^0$ . Find the angles.

asked Jan 3, 2014 by yamini.v

1 answer

Consider the function $f(x)=|x-2|+|x-5|\;x\in R$ .

asked Jan 3, 2014 by sreemathi.v

1 answer

Divide 44 into 4 parts following an AP such that the ratio of the product of extremes to the product of the means is 5:14.

asked Jan 3, 2014 by yamini.v

1 answer

If $f:R\to R$ is a function defined by $f(x)=[x]\cos\big(\large\frac{2x-1}{2}\big)$ $\pi$ where [x] denotes the greatest integer function then f is

asked Jan 3, 2014 by sreemathi.v

1 answer

If the $3^{rd}$ term of a GP is 18 and the $10^{th}$ term is 39366 , find the $7^{th}$ term of the GP.

asked Jan 3, 2014 by yamini.v

1 answer

If $P$ is a point in space such that $OP=12$ and $\overrightarrow {OP}$ is inclined with angle $45^{\circ}$ with $OX$ and $60^{\circ}$ with $OY$ then the coordinates of $P$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of the series 1.4 + 2.5 + 3.6----- upto 20 terms.

asked Jan 3, 2014 by yamini.v

1 answer

Let $f(x)=[x]\sin\bigg[\large\frac{\pi}{[x+1]}\bigg]$ where [.] denotes the greatest integer function. The domain of $f$ is and the point of discontinuity of $f$ in the domain are

asked Jan 3, 2014 by sreemathi.v

1 answer

If $P(3,2,-4),\:Q(5,4,-6)\:and\:R(9,8,-10)$ are collinear,then $R$ divides $PQ$ in ratio?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

Find the sum of the series $3^2$ + $5^2$ + $7^2$ +-----upto 10 terms

asked Jan 3, 2014 by yamini.v

1 answer

$ABC$ is an isosceles triangle inscribed in a circle of radius r. If $AB=AC$ and $h$ is the altitude from $A$ to $BC$ , then the triangle $ABC$ has perimeter $P=2(\sqrt{2hr-h^2})+\sqrt{2hr})$ and area $A$ =_______also $\lim\limits_{h\to 0}\large\frac{A}{p^3}=$ _______

asked Jan 3, 2014 by sreemathi.v

1 answer

If $\large\frac{1}{x+y}$ , $\large\frac{1}{xy}$ , $\large\frac{1}{y+z}$ are in AP, $x, y, z$ are in

asked Jan 3, 2014 by yamini.v

1 answer

$\lim\limits_{x\to 0}\large\frac{x\tan 2x-2x\tan x}{(1-\cos 2x)^2}$ is

asked Jan 3, 2014 by sreemathi.v

1 answer

The function $f(x)$ = $(x^2-1)\;$ $|x^2-3x+2|$ + $\cos(|x|)$ is not differentiable at

asked Jan 3, 2014 by sreemathi.v

1 answer

The sum of three numbers in GP is 26. If 2,2,-6 are added to them respectively they form as.n AP . Find the number

asked Jan 3, 2014 by yamini.v

1 answer

The length of $\perp$ from origin to the plane passing through the point $\overrightarrow a$ and containing the line $\overrightarrow r=\overrightarrow b+\lambda \overrightarrow c$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

The function $f(x)=[x]^2-[x^2]$ where $[x]$ is the greatest integer less than or equal to x, is discontinuous at

asked Jan 3, 2014 by sreemathi.v

1 answer

The product of $3$ numbers in $GP$ is $1000$ . If $6$ and $7$ are added to the $2^{nd}$ and $3^{rd}$ terms respectively, the terms form an $AP.$ Find the $GP$ .

asked Jan 3, 2014 by yamini.v

1 answer

The function $f:R\{0\}\rightarrow R$ given by $f(x)=\large\frac{1}{x}-\frac{2}{e^{2x}-1}$ can be made continuous at $x=0$ by defining f(0) as

asked Jan 3, 2014 by sreemathi.v

1 answer

Find the sum of n terms of the series 2.4 + 5.6 + 8.8 + 11.10 +---------

asked Jan 3, 2014 by yamini.v

1 answer

The equation of the plane through the line of intersection of the planes $ax+by+cz=d=0$ and $a'x+b'y+c'z+d'=0$ and parallel to the line $y=0,z=0$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

$f$ is defined in [-5,5] as $f(x)=\left\{\begin{array}{1 1}x&if\;x\;is\;rational\\-x&if\;x\;is\;irrational\end{array}\right.$ . Then

asked Jan 3, 2014 by sreemathi.v

1 answer

Find the sum of n terms of the series 1.5+3.8+5.11+---------------n

asked Jan 3, 2014 by yamini.v

1 answer

If $\lim\limits_{x\to \infty}\bigg[\large\frac{x^2+x+1}{x+1}$ $-ax-b\bigg]=4$ then

asked Jan 3, 2014 by sreemathi.v

1 answer

Find the sum of n terms of the series 2.4+5.7+8.10+------------

asked Jan 3, 2014 by yamini.v

1 answer

Integrate : $\int \sec^2 x \log (\tan x) .dx$

asked Jan 3, 2014 by meena.p

1 answer

The value of $\lim\limits_{x\to 0}\big((\sin x)^{1/x}+(1+x)^{\large\sin x}\big)$ where $x > 0$ is

asked Jan 3, 2014 by sreemathi.v

1 answer

Integrate : $\int \frac{y}{9}$ $t \tan (t^2)dt$

asked Jan 3, 2014 by meena.p

1 answer

The line through the point $\hat i+3\hat j+2\hat k$ and $\perp$ to the lines $\overrightarrow r=(\hat i+2\hat j-\hat k)+\lambda(2\hat i+\hat j+\hat k)$ and $\overrightarrow r=(2\hat i+6\hat j+\hat k)+\mu (\hat i+2\hat j+3\hat k)$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If a, b, c, d are in GP, what is the progression of $a^n + b^n$ , $b^n + c^n$ , $c^n + d^n$ .

asked Jan 3, 2014 by yamini.v

1 answer

The function given by $y=||x|-1|$ is differentiable for all real numbers except the points

asked Jan 3, 2014 by sreemathi.v

1 answer

If a, b, c are in GP, find the value of $a^2b^2c^2(\large\frac{1}{a^3}+\large\frac{1}{b^3}+\large\frac{1}{c^3})$

asked Jan 3, 2014 by yamini.v

1 answer

Integrate : $\int \large \frac{e^{\Large\cos ^{-1}x}}{\sqrt {1-x^2}}$ $dx$

asked Jan 3, 2014 by meena.p

1 answer

The distance of the point $(-1,2,6)$ from the line through the point $(2,3,-4)$ along the vector $6\hat i+3\hat j-4\hat k$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

$\lim\limits_{n\to \infty}\large\frac{1}{n}$ $\sum\limits_{r=1}^{2n}\large\frac{r}{\sqrt{n^2+r^2}}$ equals

asked Jan 3, 2014 by sreemathi.v

1 answer

Find 3 Geometric means between $\large\frac{1}{3}$ and 432.

asked Jan 3, 2014 by yamini.v

1 answer

Integrate : $\cos ^3 x dx$

asked Jan 3, 2014 by meena.p

1 answer

Insert two geometric means between 4 and 256 .

asked Jan 3, 2014 by yamini.v

1 answer

The function $f(x)=[x]\cos\big[\large\frac{2x-1}{2}\big]$ $\pi$ where [.] denotes the greatest integer function, is discontinuous at

asked Jan 3, 2014 by sreemathi.v

1 answer

The lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b_1$ and $\overrightarrow r=\overrightarrow a_2+\alpha \overrightarrow b_2$ are coplanar if ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

$\lim\limits_{n\to \infty}\left\{\large\frac{1}{1-n^2} + \frac{1}{1-n^2} +......+ \large\frac{n}{1-n^2}\right\}$ is equal to

asked Jan 3, 2014 by sreemathi.v

1 answer

If $a, b, c$ ---- $l$ is a GP, find the sum of the series.

asked Jan 3, 2014 by yamini.v

1 answer

The function $f(x)=\large\frac{ln(1+ax)-ln(1-bx)}{x}$ is not defined at $x=0$ . The value which should be assigned to $f$ at $x=0$ so that it is continuous at $x=0$ is

asked Jan 3, 2014 by sreemathi.v

1 answer

If the plane $\large\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1$ cuts the coordinate axis in $A,B,C$ respectively, then the area of the $\Delta\:ABC$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

A buys 3 tickets of a lottery in which total number of tickets is 12 out of which 3 carry prizes on them. A's chance of getting a prize is ;

asked Jan 2, 2014 by thanvigandhi_1

1 answer

The probability that in a throw of 12 dice 1,1, 2,2, 3,3, 4,4, 5,5, 6,6 will occur in any sequence is :

asked Jan 2, 2014 by thanvigandhi_1

1 answer

The image of the point $P(1,3,4)$ in the plane $2x-y+z+3=0$ is ?

asked Jan 2, 2014 by rvidyagovindarajan_1

1 answer

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