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The number of ways in which u can color dice with 4 colors such that no two touching faces have the same color ...
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if a1, a2, a3,.... are in Gp and 2a1+3a2+4a3-3a5=0. Then what is the possible value of R? ...
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Kn=(2n+1)2 - (2n)2 Ln=(2n+1)- (2n) Tn=Ln/Kn Find 1/T1+1/T2+............+1/T100 ...
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Q2 if f(a)=0, then which of the following is correct? ...
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COMPREHENTION: if f:R---->R & f(x) is differentiable function such that all its succesive derivatives exists f'(x) can be taken 0at discrete points only & f(x).f''(x)≤ 0 for all x εR ans foll ...
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A particle executes SHM between x=-A and x=+A. The time taken for it to go from 0 to A/2 is T1 and to go from A/2 to A is T2,then: ...
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A spring of force constant K is cut into 2 pieces such that one piece is double the length of the other.Then the long piece will have the force constant of: ...
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A particle of mass m is executing oscillation about the origin on the x-axis. Its PE is U(x)=K{modulus x}3,where K is a positive constant. If the amplitude of oscillation is 'a',then its time period T is: ...
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Derivative of the function (tan-1 1+x2 -1)/x w.r.t (tan-12x 1-x2 )/1-2x2 at x=0 is ...
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what will happen when 1)Hg[O--Ac]2 is added 2)NaBH4/0H- see the options from the above list ...
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∫(cos8x-cos7x)/(1+2cos5x)dx ...
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∫{sin2x}/{(cosx)^4+(sinx)^4}dx ...
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∫( x ){1+(x^4/3)}^1/7dx ...
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Find the height of cylinder of greatest volume inscribed in a cone of height H. ...
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Y= log(ex) - log(e-x) Z= -x Which of these is true? ...
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find x such that limit as n-> infinity {n!x} exists ...
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lim sin(1/x) x->0 tan(1/x) ...
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Which of these could best denote the rate of milking a cow by the traditional milkman. ...
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Water is emptied from a spherical shaped container into a cylindrical one. The cylinder is placed with its flat surface on the bottom. The water flows from the sphere through a small orifice. What is the ratio of the rate of ...
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If Kinetic energy of a particle changes at a rate 1 % , what is the rate of change of momentum. Assume mass to remain the same. ...
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Two men are carrying a rod at two ends each.Then a man suddenly leaves his support to the rod so that rod starts to swing down resting on the other man's shoulder.Find the ratio of load experienced by the man before and a ...
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Three projectiles are fired from the same point at the same time with different velocity vectors. The area of the triangle formed by the three particles at any time t is proportional to ...
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A rod of length L hinged at the base is allowed to fall down freely. What is the rotational speed at which it strikes the ground ? ...
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Two projectiles are fired simultaneously from the same point with diffrent velocities and different angles.The path of one projectile when seen from another is ...
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What will be the approximate location of centre of mass of a circular disk if the density increases linearly with distance from centre. ( Ï = kr) ? ...
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A drunkard walks 6 steps forward and then 4 steps backward.Each step takes 1 second and is of length 1 m. If there is a pit at a distance 16 m , how long he will take to fall in the pit ? ...
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What is the range of the ball with respect to the plate.(In other words find the distance on the plate where the ball lands again). ...
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What is the velocity acquired by the plate immediately after rebounce of the ball? ...
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lim [x] + lim {x} x->n- {x} x->n+ [x] where n is an integer, n>0 ...
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In the previous question, What is the impulse delivered friction on the ball when it rebounds ? ...