Recent questions tagged jeemain

If $ S $ is a set having 10 elements in it and $A$ is a relation in $S$ defined as $A=\{(x,y)$, where $ x,y \in\:S\;$ and $\;x\neq\;y.\}$, then no. of elements in $A$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

The range of $f (x)=\large\frac{1+x^2}{x^2}$ is

asked Apr 28, 2013 by rvidyagovindarajan_1

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If $A=\{1,2,3,4\}$ and $B=\{1,2\}$, then the number of onto functions from $A$ to $B$ is

asked Apr 28, 2013 by rvidyagovindarajan_1

1 answer

If the set $S={1,2,3...........12}$ is to be partitioned into $3$ sets $A,B,C$ of equal size so that $A\cup B\cup C=S$ and $A\cap B=B\cap C=C\cap A=\phi$, then the no. of ways the partition can be done is

asked Apr 26, 2013 by rvidyagovindarajan_1

1 answer

Solve the equation: $\sin^{-1}(6x) + \sin^{-1}(6\sqrt 3 x) =-\large \frac{\pi}{2}$

asked Apr 22, 2013 by smanpreet070

1 answer

The rate at which the population of a city increases at any time is propotional to the population at that time. If there were $1,30,000$ people in the city in $1960 $ and $1,60,000$ in $1990$ what population may be anticipated in $2020$.$[\log_{e}(\large\frac{16}{13})=$$.2070;$$e^{.42}=1.52]$

asked Apr 17, 2013 by poojasapani_1

1 answer

A cup of coffee at temperature $100^{\circ}$$C$ is placed in a room whose temperature is $15^ {\circ}$$C$ and it cools to $60^{\circ}$$C$ in $5$ minutes . Find its temperature after a further interval of $5$ minutes.

asked Apr 17, 2013 by poojasapani_1

1 answer

Solve the following $(x+y)^2 \large\frac{dy}{dx}$=$1$

asked Apr 15, 2013 by poojasapani_1

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If A=$\begin{bmatrix}3 & 2\\1 & 1\end{bmatrix}$ find the values of a and b, such that $A^2+aA+bI=0.$

asked Apr 4, 2013 by sreemathi.v

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What is the value of the function: $\large \frac{1}{4} $$\sin^{-1}\large\frac{2\sqrt 2}{3}$$+\sin^{-1}\large\frac{1}{3} $

asked Mar 14, 2013 by balaji.thirumalai

1 answer

Evaluate $\cot^{-1} \left ( \large \frac {{\sqrt {1+\sin x}}+{\sqrt {1-\sin x}}}{{\sqrt {1+\sin x}}-{\sqrt {1-\sin x}}} \right ) = \large \frac {x}{2}$$ , x \in \left ( 0, \frac{\pi}{4} \right )$

asked Mar 14, 2013 by balaji.thirumalai

1 answer

If $\;A=\small\frac{1}{\pi}$$\begin{bmatrix}sin^{-1}(\pi x) &tan^{-1}\big(\frac{\pi}{x}\big)\\ sin^{-1}\big(\frac{\pi}{x} \big)&cot^{-1}(\pi x)\end{bmatrix}\;$ and $\;B=\small\frac{1}{\pi} $$\begin{bmatrix}-cos^{-1}(\pi x) &tan^{-1}\big(\frac{x}{\pi}\big)\\ sin^{-1}\big(\frac{x}{\pi} \big)&-tan^{-1}(\pi x)\end{bmatrix}$ then $A-B$ is equal to

asked Mar 10, 2013 by sreemathi.v

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The relation $R$ in the set $A=\{x\in Z: 0 \leq x \leq 12\}$, given by $ R = \{(a,b) |a-b|$ is a multiple of 4$\}$. Is the relation reflexive, symmetrical or transitive?

asked Mar 8, 2013 by balaji.thirumalai

1 answer

A and B throw a pair of die turn by turn. The first to throw 9 is awarded a prize. If A starts the game, What is the probability of A getting the prize?

asked Feb 11, 2013 by thanvigandhi_1

1 answer

Evaluate:$\int \limits_{-\pi}^{\pi} x^{20} \sin ^9x dx $

asked Feb 4, 2013 by meena.p

1 answer

Evaluate $\int \limits_0^ 1 x(1-x)^n dx$

asked Feb 4, 2013 by meena.p

1 answer

Evaluate:$\Large\int \limits_{\normalsize 0}^{\normalsize \pi} $$\large\frac{x\; \tan x}{\sec x\; \text{cosec} x}$

asked Feb 4, 2013 by meena.p

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The curve for which the slope of the tangent at any point is equal to the ratio of the abscissa to the ordinate of the point is

asked Jan 19, 2013 by sreemathi.v

1 answer

Form the differential equation of all circles which pass through origin and whose centers lie on y-axis as shown below:

asked Jan 18, 2013 by sreemathi.v

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If $y=y(x)$ satisfies $x\cos y + y\cos x = \pi$, then find $y''(0)$:

asked Jan 3, 2013 by sreemathi.v

1 answer

If $x=t^2$,$y=t^3,then\;\large \frac{d^2y}{dx^2}$ is

asked Jan 3, 2013 by sreemathi.v

1 answer

If $y=\tan^{-1}x$, find $\large {\frac{d^2y}{dx^2}}$ in terms of y alone.

asked Jan 2, 2013 by sreemathi.v

1 answer

There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin ?

asked Dec 18, 2012 by thanvigandhi_1

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