-
x^2 - a*x + b = 0 x^2 - b*x + a = 0 Both these equations have positive,integral and distinct roots. Find a and b. ...
-
Two bobs of masses 6m and 10m are attached to the two ends of a light inextensible string which passes over a frictionless ring at O. The lighter bob describes a horizontal circle about the heavier bob(which remains stationar ...
-
A particle slides from the top down the outside smooth surface of a fixed sphere of radius 'R'. When the particle is at its highest position, what velocity in the horizontal direction should be imparted to it , so that it lea ...
-
A 40 kg. mass hanging at the end of rope of length 'l' oscillates in a vertical plane with an angular amplitude 'x'. What is the tension in the rope , when it makes an angle 'y' with the vertical? If the breaking strength of ...
-
Shan parks his car among 6 cars already standing in a row, his car not being parked at an end. On return he finds that exactly 4 of the 7 cars are still there. What is the probability that both the cars parked on two sides of ...
-
if x*tan(y) + 1 = (1+x^2)^(1/2) , find dy/dx. ...
-
Shan parks his car among 6 cars already standing in a row, his car not being parked at an end. on return he finds that only 4 of the 7 cars are still there. wHAT IS THE PROBABAILITY THAT BOTH THE CARS PARKED ON BOTH SIDES OF ...
-
Consider a n*n chessboard. A person moves along the lines of the chessboard such that the sum in the y axis is greater than or equal to the sum in the x axis. Find the number of ways of going from one corner to the other corn ...
-
A straight conductor of uniform cross-section carries a current I. Let 'S' be the specific charge of an electron. The momentum of all the free electrons per unit length of the conductor, due to their drift velocities only, in ...
-
A block of mass 'M' executes S.H.M. with amplitude 'A'. When it passes through the mean position, a lump of putty of mass 'm' is dropped on it.Find the new amplitude. ...
-
A mass 'm' is undergoing S.H.M. in the vertical direction about the mean position 'x' with amplitude 'A' and angular freq. \omega . At a distance y from the mean position, the mass detaches from the spring. Assuming that the ...
-
A SPHERE OF RADIUS 'R' IS FLOATING IN A LIQUID OF DENSITY '\rho ' WITH HALF OF ITS VOLUME SUBMERGED. IF THE SPHERE IS SLIGHTLY PUSHED AND RELEASED, IT STARTS PERFORMING S.H.M. FIND THE FREQUENCY OF THESE OSCILLATIONS. ...
