Recent questions tagged eamcet

For a system to follow the law of conservation of linear momentum during a collision the condition is :

asked Oct 28, 2013 by meena.p

1 answer

A man of 50kg is standing at one end on a boat of length 25 m and mass $200\;kg$. If he starts running and when he reaches the other end, he has a velocity $2\;ms^{-1}$ with respect to boat The final velocity of the boat is : (in $ms^{-1}$)

asked Oct 28, 2013 by meena.p

1 answer

A bullet of mass 10g id fired horizontally with a velocity $1000 ms^{-1}$ from a rifle situated at a height 50 m above the ground. If the bullet reaches the ground with a velocity $500 ms^{-1}$, the work done against air resistance in the trajectory of the bullet is : $ (g=10\;ms^{-2})$

asked Oct 28, 2013 by meena.p

1 answer

A motor is used to deliver water at a certain rate through a given horizontal pipe. To deliver n-times the water through the same pipe in the same time the power of the motor must be increased as follows :

asked Oct 28, 2013 by meena.p

1 answer

A body is projected from the earth at angle $30^{\circ}$ with the horizontal with some initial velocity. If its range is 20 m, the maximum height reached by it is : (in meters)

asked Oct 28, 2013 by meena.p

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A man standing on a road has to hold his umbrella at $30^{\circ}$ with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/h. He finds that raindrops are hitting his head vertically. The actual speed of raindrops is :

asked Oct 28, 2013 by meena.p

1 answer

If G.R.I and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are : $(1)CR ,\; (2)\;\large\frac{L}{R},\;(3)\;\sqrt {LC}, \;(4)\;LI^2$

asked Oct 28, 2013 by meena.p

1 answer

The solution of $\large\frac{dy}{dx}$$+1=e^{x+y}$ is

asked Oct 28, 2013 by meena.p

1 answer

The solution of $\large\frac{dy}{dx}=\frac{y^2}{xy-x^2}$ is

asked Oct 28, 2013 by meena.p

1 answer

The solution of $(x+y+1)\large\frac{dy}{dx}$$=1$

asked Oct 28, 2013 by meena.p

1 answer

The differential equation obtained by eliminating the arbitrary constant a and b from $xy=ae^x+be^{-x}$ is

asked Oct 28, 2013 by meena.p

1 answer

The area (in square unit ) of the region enclosed by the curves $ y=x^2$ and $y=x^3$ is

asked Oct 28, 2013 by meena.p

1 answer

$\int \limits_0^{2x} \sin ^6 x \cos ^5 x dx $ is equal to

asked Oct 28, 2013 by meena.p

1 answer

If $f(t) =\int \limits _{-t}^t \large\frac{e^{-|x|}}{2}$$dx$, then $\lim \limits_{t \to \infty} f(t) $ is equal to

asked Oct 28, 2013 by meena.p

1 answer

$\int \large \frac{\sin x+ 8 \cos x}{4 \sin x+6 \cos x}$$ dx$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

The type of association exhibited by Hydroactinia and pagurus is

asked Oct 28, 2013 by thanvigandhi_1

1 answer

Three-lobed diphycercal tail is the feature of this fish :

asked Oct 28, 2013 by thanvigandhi_1

1 answer

Which part of the alimentary canal in cockroach secretes peritrophic membrane around the food?

asked Oct 28, 2013 by thanvigandhi_1

1 answer

$\int \tan^{-1} \bigg(\sqrt {\large\frac{1-x}{1+x}}\bigg)$$dx$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

If $ \int \large\frac{e^x-1}{e^x+1}$$dx=f(x)+c$, then f(x) is equal to

asked Oct 28, 2013 by meena.p

0 answers

If $z= \log (\tan x +\tan y)$, then $(\sin 2x) \large\frac{\partial z}{\partial x}$$+(\sin 2y) \large\frac{\partial z}{\partial y}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

Observe the statement given below: Assertion (A): $f(x)=x e^{-x}$ has the maximum at $x=1$ Reason (R): $ f(1)=0$ and $f(1) <0$ which of following is correct ?

asked Oct 28, 2013 by meena.p

1 answer

The circumference of a circle is measured as 56 cm with an error 0.02 cm. The percentage error in its area is

asked Oct 28, 2013 by meena.p

1 answer

The condition $f(x)=x^3+px^2+qx+r(x \in R)$ to have no extreme value, is

asked Oct 28, 2013 by meena.p

1 answer

The lengths of tangent, subtangent, normal and subnormal for the curve $y=x^2+x-1$ at $(1,1)$ are A,B,C and D respectively then their increasing order is

asked Oct 28, 2013 by meena.p

1 answer

$x=\cos \theta,y= \sin 5 \theta =>(1-x^2)\large\frac{d^2y}{dx^2}$$ - x \large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer