Recent questions tagged q51

$\lim\limits_{x\to 1}\bigg[\large\frac{x^3+2x^2+x+1}{x^2+2x+3}\bigg]^{\Large\frac{1-\cos(x-1)}{(x-1)^2}}$

asked Dec 24, 2013 by sreemathi.v

1 answer

If uncertainty in position and momentum are equal, then uncertainty in velocity is :

asked Dec 16, 2013 by thanvigandhi_1

0 answers

The stimulation of which receptors bring, about Micturation in rabbit ?

asked Dec 9, 2013 by thanvigandhi_1

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Sucking the young by both male and female parents is observed in

asked Dec 2, 2013 by thanvigandhi_1

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$H_2B_4O+5H_2O\rightarrow x$. $x$ is

asked Nov 28, 2013 by sreemathi.v

1 answer

Three sparingly solube salts $M_2V, MX and MX_3$ have same value of solubility product. Their solubilities follow the order

asked Nov 27, 2013 by mosymeow_1

1 answer

The insect which spreads the yellow fever is :

asked Nov 26, 2013 by thanvigandhi_1

0 answers

If the magnitude of the vector $a\hat i+b\hat j+c\hat k$ is $|a|+|b|+|c|$, then $a,b,c$ should be ?

asked Nov 19, 2013 by rvidyagovindarajan_1

1 answer

The number of solutions of the pair of equations $2\sin^2\theta-\cos 2\theta=0$ and $\cos^2\theta-3\sin\theta=0$ in the interval $[0,2\pi]$ is

asked Nov 15, 2013 by sreemathi.v

1 answer

In pheretime, septa are absent between some of the segments. They are :

asked Nov 13, 2013 by thanvigandhi_1

0 answers

The direction cosines of the line passing through $P(2,3,-1) $ and the orgin are :

asked Nov 12, 2013 by meena.p

1 answer

If the direction cosines of two lines are such that $l+m+n=0; l^2 +m^2-n^2=0$ then the angle between them is :

asked Nov 6, 2013 by meena.p

1 answer

One mole of potassium chlorate is thermally decomposed excess of aluminum is burnt in the gaseous product .How many mole of aluminum oxide are formed?

asked Oct 28, 2013 by sreemathi.v

1 answer

Identify the sequence of steps involved during inspiration in rabbit

asked Oct 27, 2013 by thanvigandhi_1

1 answer

The ratio in which yz - plane divides the line segment joining $(-3,4,-2)$ and $(2,1,3)$ is

asked Oct 25, 2013 by meena.p

1 answer

In $\Delta ABC$ the mid-points of the sides AB,BC and CA are respectively $(l,0,0),(0,m,0)$ and $(0,0,n).$ Then $\large\frac{AB^2+BC^2+CA^2}{l^2+m^2+n^2}=$

asked Oct 17, 2013 by meena.p

1 answer

Identify two correct statements from the following

asked Oct 17, 2013 by thanvigandhi_1

1 answer

The diameter of a circle are along $2x+y-7=0$ and $x+3y-11=0$. Then, the equation of this circle, Which also passes through (5,7) is :

asked Oct 10, 2013 by meena.p

1 answer

The value of expression $\large\frac{1-4\sin 10^{\large\circ}\sin 70^{\large\circ}}{2\sin 10^{\large\circ}}$

asked Oct 9, 2013 by sreemathi.v

1 answer

Both hepatic and renal portal systems are found in

asked Oct 5, 2013 by thanvigandhi_1

1 answer

The equation of the circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and of double its area is :

asked Sep 27, 2013 by meena.p

1 answer

For any vector $\bar r,\bar {i} \times (\bar {r} \times \bar {i}) \div \bar {j} \times (\bar {r} \times \bar {j})+ \bar k \times (\bar {r} \times {\bar k})=$

asked Sep 23, 2013 by meena.p

1 answer

If the length of the tangent from $(h,k)$ to the circle $x^2+y^2=16$ is twice the length of the tangent from the same point to the circle $x^2+y^2+2x+2y=0,$ then

asked Sep 16, 2013 by meena.p

1 answer

A satellite revolving in a circular equatorial orbit of radius $r= 2 \times 10 ^4 km$ from west to East appears over a certain point at the equator every $11.6$ hours. Calculate the actual angular velocity of the satellite

asked Aug 22, 2013 by meena.p

1 answer

A particle is released from top of two inclined rough surfaces of height 'h' each. The angle of inclination of two planes are $30^{\circ}$ and $60^{\circ}$ respectively. All other factor (eg. coefficient of friction, mass of block etc) are same in both cases. Let $k_1$ and $k_2$ be kinetic energies of the particle at the bottom of the plane in two cases. Then

asked Aug 5, 2013 by meena.p

1 answer

A body of mass M is acted upon by a force F and acceleration produced is 'a' . If three equal forces each equal to F and inclined to each other at $120 ^{\circ}$ act on the same body , the acceleration produced will be

asked Jul 12, 2013 by meena.p

1 answer

If $u=\log\begin{pmatrix}\large\frac{x^{2}+y^{2}}{xy}\end{pmatrix}$ then $x\large\frac{\partial u}{\partial x}+$$y\large\frac{\partial u}{\partial y}$ is

asked May 21, 2013 by poojasapani_1

1 answer

The shortest distance between the lines $ \large\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4} $ and $\large\frac{x-2}{3}=\frac{y-4}{4}=\frac{z-5}{5}$ is

asked May 11, 2013 by poojasapani_1

1 answer

If possible,using elementary row transformations,find the inverse of the following matrices $\quad\begin{bmatrix}2 & 0 & -1\\5 & 1 & 0\\0& 1 & 3\end{bmatrix}$

asked Mar 9, 2013 by sreemathi.v

1 answer

If possible,using elementary row transformations,find the inverse of the following matrices $(ii)\quad\begin{bmatrix}2 & 3 & -3\\-1 & -2 & 2\\1& 1 & -1\end{bmatrix}$

asked Mar 9, 2013 by sreemathi.v

1 answer

Evaluate:\[\int \frac {1}{x^4+1} dx\]

asked Feb 3, 2013 by meena.p

0 answers

Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is $\Large\frac{8}{27}$ of the volume of the sphere.

asked Jan 29, 2013 by meena.p

0 answers

The degree of the differential equation $\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx}\bigg)^3$$+6y^5=0$ is\[(A)\;1\quad(B)\;2\quad(C)\;3\quad(D)\;5\]

asked Jan 18, 2013 by sreemathi.v

1 answer

$\Large \int e^x\bigg(\frac{1-x}{1+x^2}\bigg)^2 \normalsize dx$ is equal to

asked Jan 15, 2013 by sreemathi.v

1 answer

The function f(x)+tan x-x

asked Jan 11, 2013 by sreemathi.v

1 answer

The probability distribution of a random variable x is given as under:\[P(X=x)=\left \{\begin{array}{1 1}kx^2 & for\;x=1,2,3\\2kx & for\;x=4,5,6\\0 & otherwise\end{array}\right.\]Where k is a constant.Calculate\[(i)\;E(X)\quad(ii)\;E(3X^2)\quad(iii)\;P(X\geq 4)\]

asked Jan 9, 2013 by sreemathi.v

1 answer

If $x=3\sin t-\sin 3t,y=3\cos t-\cos 3t,find \;\large \frac{dy}{dx}\;\normalsize at \;t=\large \frac{\pi}{3}$

asked Dec 31, 2012 by sreemathi.v

1 answer

True or False: If A and B are matrices of order 3 and $\mid A\mid=5,\mid B \mid=3,then\mid 3AB\mid=27\times 5\times 3=405$

asked Dec 28, 2012 by sreemathi.v

1 answer

If possible,using elementary row transformations,find the inverse of the following matrices $\quad\begin{bmatrix}2 & -1 & 3\\-5 & 3 & 1\\-3 & 2 & 3\end{bmatrix}$

asked Dec 23, 2012 by sreemathi.v

1 answer

True or False: The domain of trigonometric functions can be restricted to any one of their branch(not necessarily principal value) in order to obtain their inverse function.

asked Dec 21, 2012 by sreemathi.v

1 answer

Let $f:R \rightarrow R$ be defined by $f(x)=\Large {\frac{x}{\sqrt{1+x^2}}}$.Then ( f o f o f )(x)=____________.

asked Dec 20, 2012 by sreemathi.v

1 answer

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