Recent questions in Mathematics

A vector $\overrightarrow a$ is parallel to the line of intersection of planes $P_1$ containing vectors $\hat i,\:\hat i+\hat j$ and $P_2$ conataining vectors $\hat i-\hat j,\:\hat i+\hat k$ . Then the angle between $\overrightarrow a$ and $\hat i-2\hat j+2\hat k$ is?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

How many two digit numbers are divisible by 4?

asked Jan 5, 2014 by yamini.v

1 answer

Which term of the sequence 130,126,122----- is the first negative term.

asked Jan 5, 2014 by yamini.v

1 answer

Find the value of $n$ such that the $n^{th}$ term of the sequences 27,24,21------- and 2,4,6----- are equal.

asked Jan 5, 2014 by yamini.v

1 answer

The vectors $\overrightarrow a,\overrightarrow b,\overrightarrow c\:\overrightarrow d$ be are such that $(\overrightarrow a\times\overrightarrow b)\times (\overrightarrow c\times\overrightarrow d)=0$ and $P_1,\:P_2$ are two planes containing the pair of vectors $\overrightarrow a,\overrightarrow b$ and $\overrightarrow c,\overrightarrow d$ respectively, then the angle between the planes is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are the sides $BC,CA\:and \:AB$ respectively of the $\Delta \:ABC$ , then

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are three coplanar vectors then, $[(2\overrightarrow a-\overrightarrow b)\:(2\overrightarrow b-\overrightarrow c)\:(2\overrightarrow c-\overrightarrow a)]=?$

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The position vector of the vertices $A,B,C$ of a $\Delta\: ABC$ are $\hat i-\hat j-3\hat k,\:2\hat i+\hat j-2\hat k\:\:and\:\:-5\hat i+2\hat j-6\hat k$ respectively. The length of the bisector $AD$ of angle $A$ where $D$ is on the line $BC$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

A line passes through the points with position vectors are $\hat i+\hat j-2\hat k$ and $\hat i-3\hat j+\hat k$ . The position vector of a point on the line which is at a unit distance from the first point is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow a,\overrightarrow b,\overrightarrow c$ are position vectors of three non collinear points $A,B,C$ respectively, then the shortest distance of $A$ from $BC$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The distance of the point $(1,1,1)$ from the plane passing through the points $(2,1,1),\:(1,2,1)\:and\:(1,1,2)$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The line joining the points $6\overrightarrow a-4\overrightarrow b-5\overrightarrow c$ and $-4\overrightarrow c$ and the line joining the points $-\overrightarrow a-2\overrightarrow b-3\overrightarrow c$ and $\overrightarrow a+2\overrightarrow b-5\overrightarrow c$ Intersects at the point ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

A unit vector coplanar with the vectors $\hat i-\hat j\:\;and\:\:\hat i+2\hat j$ and is $\perp$ to the first vector, $\hat i-\hat j$ is ?

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

If $\overrightarrow {OA}=\hat i+3\hat j-2\hat k\:\:and\:\:\overrightarrow {OB}=3\hat i+\hat j-2\hat k$ and $C$ is a point of $AB$ so that $\overrightarrow {OC}$ bisects the angle $AOB$ , then $\overrightarrow {OC}=?$

asked Jan 5, 2014 by rvidyagovindarajan_1

1 answer

The equation of the plane having intercepts of $3$ and $4$ with $x$ and $z$ axes respectively and parallel to $y$ axis is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

If the lines $x=1+s,\:y=-3-\lambda s,\:z=1+\lambda s$ and $x=t/2,\:y=1+t,\:z=2-t$ with parameters $s\:and\:t$ respectively, are coplanar, then $\lambda=?$

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The function $f(x)=\left\{\begin{array}{1 1}\large\frac{x^2}{a}&0\leq x <1\\a&1\leq x < \sqrt 2\\\large\frac{2b^2-4b}{x^2}&\sqrt 2\leq x < \infty\end{array}\right.$ is continuous for $0\leq x < \infty$ then the most suitable values of a and b are

asked Jan 4, 2014 by sreemathi.v

1 answer

The equation of the plane containing the lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b\:\:and\:\:\overrightarrow r=\overrightarrow a_2+\mu\overrightarrow b$ is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

Evaluate $\lim\limits_{\large x\to a}\large\frac{\sqrt{a+2x}-\sqrt{3x}}{\sqrt{3a+x}-2\sqrt x}$ , where $a\neq 0$

asked Jan 4, 2014 by sreemathi.v

1 answer

The value of $\lim\limits_{x\to 0}\large\frac{\sqrt{\Large\frac{1}{2}\normalsize (1-\cos 2x)}}{x}$

asked Jan 4, 2014 by sreemathi.v

1 answer

If $f(x)=\large\frac{x}{2}$ $-1$ , then on the interval $[0,\pi]$

asked Jan 4, 2014 by sreemathi.v

1 answer

The set of all points where the function $f(x)=\large\frac{x}{(1+|x|)}$ is differentiable is

asked Jan 4, 2014 by sreemathi.v

1 answer

The equation of the plane that contains the line $\overrightarrow r=2\hat i+\lambda(\hat j-\hat k)$ and $\perp$ to the plane $\overrightarrow r.(\hat i+\hat k)=3$ is ?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The $n^{th}$ term of a progression is $2n+3$ . What is the type of progression and what is its $15^{th}$ term.

asked Jan 4, 2014 by yamini.v

1 answer

A die is thrown 4 times. The probability of getting at most two 6 is :

asked Jan 4, 2014 by thanvigandhi_1

1 answer

The equation of the plane through the point $(1,2,-1)$ and $\perp$ to the line of intersection of the planes $\overrightarrow r.(3\hat i-\hat j+\hat k)=1$ and $\overrightarrow r.(\hat i+4\hat j-2\hat k)=2$ is?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

If the chance that a ship will arrive safely at a port is $\large\frac{9}{10}$ , the chance that out of 5 ships expected to arrive at the port at least 4 will arrive safely is

asked Jan 4, 2014 by thanvigandhi_1

1 answer

A fair coin is tossed 10 times. The probability that the coin shows head exactly 4 times is

asked Jan 4, 2014 by thanvigandhi_1

1 answer

If the position vector of the points $A\:and\:B$ are $\hat i-\hat j+3\hat k$ and $3\hat i+3\hat j+3\hat k$ and the equation of a plane is $\overrightarrow r.(5\hat i+2\hat j-7\hat k)+9=0$ , then the points $A\:and\:B$ are?

asked Jan 4, 2014 by rvidyagovindarajan_1

1 answer

The probability that England wins a cricket match against India is $\large\frac{1}{3}$ . If India and England play 3 test matches the probability that India will win exactly 2 test matches is

asked Jan 4, 2014 by thanvigandhi_1

1 answer

If on an average 2 ships in every 10, sinks. The probability that out of 5 ships expected to arrive, at least three will arrive safely is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

A,B and C take one shot each at a target. Their probability of hitting the target are respectively 0.4, 0.5 and 0.8. The probability that at least two of them hit the target is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Three identical dice are rolled. The probability that the same number will appear on each of them is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

The equation of the plane through origin and the line of intersection of the planes $\overrightarrow r.\overrightarrow a=\lambda\:\:and\:\:\overrightarrow r.\overrightarrow b=\mu$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

If $O$ is origin, $|\overrightarrow{OP}|=3$ with $d.r.=(-1,2,-2)$ then the coordinate of $P$ is ?

asked Jan 3, 2014 by rvidyagovindarajan_1

2 answers

For what value of n is $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ the GM of 4 and 16.

asked Jan 3, 2014 by yamini.v

1 answer

Find the value of n such that $\frac{5^{(n+1)}+17^{(n+1)}}{5^n+17^n}$ is the AM of 5 and 17

asked Jan 3, 2014 by yamini.v

1 answer

The probability of a man hitting a target is $\large\frac{3}{4}$ . He tries 5 times. The probability that the target will be hit at least 3 times is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

If $P(x,y,z)$ is a point on the line segment joining $Q(2,2,4)\:\:and\:\:R(3,5,6)$ such that the projections of $\overrightarrow {OP}$ on the coordinate axes are $\large\frac{13}{5},\frac{19}{5},\frac{26}{5}$ respectively, then $P$ divides $QR$ in the ratio ?

asked Jan 3, 2014 by rvidyagovindarajan_1

1 answer

An experiment can result in only 3 mutually exclusive events A,B and C. If $P(A) = 2P(B) = 3P(C)$ then $P(A) =$

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Given that $a\;\xi\;b$ are not equal , find the value of n so that $\frac{a^{n+1}+b^{n+1}}{a^n+b^n}$ is the GM of $a\;\xi\;b$

asked Jan 3, 2014 by yamini.v

1 answer

Three mangoes and three apples are kept in a box. If two fruits are selected at random from the box, the probability that the selection will contain one mango and one apple is

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Let $[x]$ denote the greatest integer less than or equal to x. If $f(x)=[x\sin\pi x]$ , then $f(x)$ is

asked Jan 3, 2014 by sreemathi.v

1 answer

If n arithmetic means are interested between $0$ and $32$ such that the $2^{nd}$ mean is one-seventh of the $(n-1)^{th}$ mean, find the value of $n$ .

asked Jan 3, 2014 by yamini.v

1 answer

Let $A$ and $B$ be two events, such that: $P(\overline{A \cup B} )$ $= \large\frac{1}{6}\:$ , $\;\; P( A \cap B )$ $= \large\frac{1}{4}$ , $\;$ and $\;\;P(\overline A)$ $=\large\frac{1}{4}$ where $\overline A$ stands for complement of event $A$ . Then events $A$ and $B$ are

asked Jan 3, 2014 by thanvigandhi_1

1 answer

If $f(x)=x(\sqrt{x}-\sqrt{x+1})$ then

asked Jan 3, 2014 by sreemathi.v

1 answer

Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :

asked Jan 3, 2014 by thanvigandhi_1

1 answer

Insert k arithmetic means between 1 and $k^2$ . what is the resulting series?

asked Jan 3, 2014 by yamini.v

1 answer

Two persons A and B have equal number of sons. There are three cinema tickets which are to be distributed among the sons of A and B. The probability that all the tickets go to sons of A is $\large\frac{1}{20}$ . The number of sons each of them is :

asked Jan 3, 2014 by thanvigandhi_1

1 answer

In the series 2,10,50 ------ the number of terms required to make a sum of 7812 is

asked Jan 3, 2014 by yamini.v

1 answer

Ask Questions, Get Answers